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Finding the Third Proportional to 140,681 and 325,397

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Solution

The third proportional to 140,681 and 325,397 is: 752,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,681 : 325,397 = 325,397 : x
  2. Step 2: Convert to fraction form
    140,681/325,397 = 325,397/x
  3. Step 3: Cross multiply
    140,681x = 325,397 × 325,397
  4. Step 4: Simplify right side
    140,681x = 105,883,207,609
  5. Step 5: Solve for x
    x = 105,883,207,609/140,681
  6. Step 6: Final answer
    x = 752,647.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.