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Finding the Third Proportional to 118,031 and 255,751

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Solution

The third proportional to 118,031 and 255,751 is: 554,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,031 : 255,751 = 255,751 : x
  2. Step 2: Convert to fraction form
    118,031/255,751 = 255,751/x
  3. Step 3: Cross multiply
    118,031x = 255,751 × 255,751
  4. Step 4: Simplify right side
    118,031x = 65,408,574,001
  5. Step 5: Solve for x
    x = 65,408,574,001/118,031
  6. Step 6: Final answer
    x = 554,164.36

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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.