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Finding the Third Proportional to 227,863.13 and 353,737.13

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Solution

The third proportional to 227,863.13 and 353,737.13 is: 549,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,863.13 : 353,737.13 = 353,737.13 : x
  2. Step 2: Convert to fraction form
    227,863.13/353,737.13 = 353,737.13/x
  3. Step 3: Cross multiply
    227,863.13x = 353,737.13 × 353,737.13
  4. Step 4: Simplify right side
    227,863.13x = 125,129,953,603.27
  5. Step 5: Solve for x
    x = 125,129,953,603.27/227,863.13
  6. Step 6: Final answer
    x = 549,145.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.