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Finding the Third Proportional to 225,990.88 and 341,902.13

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Solution

The third proportional to 225,990.88 and 341,902.13 is: 517,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,990.88 : 341,902.13 = 341,902.13 : x
  2. Step 2: Convert to fraction form
    225,990.88/341,902.13 = 341,902.13/x
  3. Step 3: Cross multiply
    225,990.88x = 341,902.13 × 341,902.13
  4. Step 4: Simplify right side
    225,990.88x = 116,897,063,079.52
  5. Step 5: Solve for x
    x = 116,897,063,079.52/225,990.88
  6. Step 6: Final answer
    x = 517,264.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.