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Finding the Third Proportional to 142,932 and 301,721

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Solution

The third proportional to 142,932 and 301,721 is: 636,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,932 : 301,721 = 301,721 : x
  2. Step 2: Convert to fraction form
    142,932/301,721 = 301,721/x
  3. Step 3: Cross multiply
    142,932x = 301,721 × 301,721
  4. Step 4: Simplify right side
    142,932x = 91,035,561,841
  5. Step 5: Solve for x
    x = 91,035,561,841/142,932
  6. Step 6: Final answer
    x = 636,915.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.