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Finding the Third Proportional to 147,942 and 323,532

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Solution

The third proportional to 147,942 and 323,532 is: 707,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,942 : 323,532 = 323,532 : x
  2. Step 2: Convert to fraction form
    147,942/323,532 = 323,532/x
  3. Step 3: Cross multiply
    147,942x = 323,532 × 323,532
  4. Step 4: Simplify right side
    147,942x = 104,672,955,024
  5. Step 5: Solve for x
    x = 104,672,955,024/147,942
  6. Step 6: Final answer
    x = 707,526.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.