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Finding the Third Proportional to 232,742.25 and 355,876.88

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Solution

The third proportional to 232,742.25 and 355,876.88 is: 544,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,742.25 : 355,876.88 = 355,876.88 : x
  2. Step 2: Convert to fraction form
    232,742.25/355,876.88 = 355,876.88/x
  3. Step 3: Cross multiply
    232,742.25x = 355,876.88 × 355,876.88
  4. Step 4: Simplify right side
    232,742.25x = 126,648,350,159.77
  5. Step 5: Solve for x
    x = 126,648,350,159.77/232,742.25
  6. Step 6: Final answer
    x = 544,157.11

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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.