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Finding the Third Proportional to 142,564 and 307,724

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Solution

The third proportional to 142,564 and 307,724 is: 664,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564 : 307,724 = 307,724 : x
  2. Step 2: Convert to fraction form
    142,564/307,724 = 307,724/x
  3. Step 3: Cross multiply
    142,564x = 307,724 × 307,724
  4. Step 4: Simplify right side
    142,564x = 94,694,060,176
  5. Step 5: Solve for x
    x = 94,694,060,176/142,564
  6. Step 6: Final answer
    x = 664,221.40

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