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Finding the Third Proportional to 129,904 and 285,324

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Solution

The third proportional to 129,904 and 285,324 is: 626,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,904 : 285,324 = 285,324 : x
  2. Step 2: Convert to fraction form
    129,904/285,324 = 285,324/x
  3. Step 3: Cross multiply
    129,904x = 285,324 × 285,324
  4. Step 4: Simplify right side
    129,904x = 81,409,784,976
  5. Step 5: Solve for x
    x = 81,409,784,976/129,904
  6. Step 6: Final answer
    x = 626,691.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.