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Finding the Third Proportional to 142,679 and 337,423

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Solution

The third proportional to 142,679 and 337,423 is: 797,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,679 : 337,423 = 337,423 : x
  2. Step 2: Convert to fraction form
    142,679/337,423 = 337,423/x
  3. Step 3: Cross multiply
    142,679x = 337,423 × 337,423
  4. Step 4: Simplify right side
    142,679x = 113,854,280,929
  5. Step 5: Solve for x
    x = 113,854,280,929/142,679
  6. Step 6: Final answer
    x = 797,975.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.