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Finding the Third Proportional to 232,705.13 and 355,822.88

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Solution

The third proportional to 232,705.13 and 355,822.88 is: 544,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,705.13 : 355,822.88 = 355,822.88 : x
  2. Step 2: Convert to fraction form
    232,705.13/355,822.88 = 355,822.88/x
  3. Step 3: Cross multiply
    232,705.13x = 355,822.88 × 355,822.88
  4. Step 4: Simplify right side
    232,705.13x = 126,609,918,373.27
  5. Step 5: Solve for x
    x = 126,609,918,373.27/232,705.13
  6. Step 6: Final answer
    x = 544,078.77

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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.