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Finding the Third Proportional to 237,687.75 and 522,031.50

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Solution

The third proportional to 237,687.75 and 522,031.50 is: 1,146,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,687.75 : 522,031.50 = 522,031.50 : x
  2. Step 2: Convert to fraction form
    237,687.75/522,031.50 = 522,031.50/x
  3. Step 3: Cross multiply
    237,687.75x = 522,031.50 × 522,031.50
  4. Step 4: Simplify right side
    237,687.75x = 272,516,886,992.25
  5. Step 5: Solve for x
    x = 272,516,886,992.25/237,687.75
  6. Step 6: Final answer
    x = 1,146,533.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.