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Finding the Third Proportional to 232,301.63 and 355,117.13

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Solution

The third proportional to 232,301.63 and 355,117.13 is: 542,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,301.63 : 355,117.13 = 355,117.13 : x
  2. Step 2: Convert to fraction form
    232,301.63/355,117.13 = 355,117.13/x
  3. Step 3: Cross multiply
    232,301.63x = 355,117.13 × 355,117.13
  4. Step 4: Simplify right side
    232,301.63x = 126,108,172,468.27
  5. Step 5: Solve for x
    x = 126,108,172,468.27/232,301.63
  6. Step 6: Final answer
    x = 542,863.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.