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Finding the Third Proportional to 155,881.13 and 234,514.13

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Solution

The third proportional to 155,881.13 and 234,514.13 is: 352,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,881.13 : 234,514.13 = 234,514.13 : x
  2. Step 2: Convert to fraction form
    155,881.13/234,514.13 = 234,514.13/x
  3. Step 3: Cross multiply
    155,881.13x = 234,514.13 × 234,514.13
  4. Step 4: Simplify right side
    155,881.13x = 54,996,874,824.52
  5. Step 5: Solve for x
    x = 54,996,874,824.52/155,881.13
  6. Step 6: Final answer
    x = 352,812.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.