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Finding the Third Proportional to 155,432.25 and 232,189.88

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Solution

The third proportional to 155,432.25 and 232,189.88 is: 346,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,432.25 : 232,189.88 = 232,189.88 : x
  2. Step 2: Convert to fraction form
    155,432.25/232,189.88 = 232,189.88/x
  3. Step 3: Cross multiply
    155,432.25x = 232,189.88 × 232,189.88
  4. Step 4: Simplify right side
    155,432.25x = 53,912,138,052.52
  5. Step 5: Solve for x
    x = 53,912,138,052.52/155,432.25
  6. Step 6: Final answer
    x = 346,852.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.