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Finding the Third Proportional to 142,404 and 307,650

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Solution

The third proportional to 142,404 and 307,650 is: 664,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,404 : 307,650 = 307,650 : x
  2. Step 2: Convert to fraction form
    142,404/307,650 = 307,650/x
  3. Step 3: Cross multiply
    142,404x = 307,650 × 307,650
  4. Step 4: Simplify right side
    142,404x = 94,648,522,500
  5. Step 5: Solve for x
    x = 94,648,522,500/142,404
  6. Step 6: Final answer
    x = 664,647.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.