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Finding the Third Proportional to 142,374 and 206,217

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Solution

The third proportional to 142,374 and 206,217 is: 298,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,374 : 206,217 = 206,217 : x
  2. Step 2: Convert to fraction form
    142,374/206,217 = 206,217/x
  3. Step 3: Cross multiply
    142,374x = 206,217 × 206,217
  4. Step 4: Simplify right side
    142,374x = 42,525,451,089
  5. Step 5: Solve for x
    x = 42,525,451,089/142,374
  6. Step 6: Final answer
    x = 298,688.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.