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Finding the Third Proportional to 142,725 and 313,699

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Solution

The third proportional to 142,725 and 313,699 is: 689,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,725 : 313,699 = 313,699 : x
  2. Step 2: Convert to fraction form
    142,725/313,699 = 313,699/x
  3. Step 3: Cross multiply
    142,725x = 313,699 × 313,699
  4. Step 4: Simplify right side
    142,725x = 98,407,062,601
  5. Step 5: Solve for x
    x = 98,407,062,601/142,725
  6. Step 6: Final answer
    x = 689,487.21

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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.