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Finding the Third Proportional to 242,031.38 and 524,886.75

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Solution

The third proportional to 242,031.38 and 524,886.75 is: 1,138,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,031.38 : 524,886.75 = 524,886.75 : x
  2. Step 2: Convert to fraction form
    242,031.38/524,886.75 = 524,886.75/x
  3. Step 3: Cross multiply
    242,031.38x = 524,886.75 × 524,886.75
  4. Step 4: Simplify right side
    242,031.38x = 275,506,100,325.56
  5. Step 5: Solve for x
    x = 275,506,100,325.56/242,031.38
  6. Step 6: Final answer
    x = 1,138,307.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.