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Finding the Third Proportional to 155,899.69 and 241,876.13

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Solution

The third proportional to 155,899.69 and 241,876.13 is: 375,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,899.69 : 241,876.13 = 241,876.13 : x
  2. Step 2: Convert to fraction form
    155,899.69/241,876.13 = 241,876.13/x
  3. Step 3: Cross multiply
    155,899.69x = 241,876.13 × 241,876.13
  4. Step 4: Simplify right side
    155,899.69x = 58,504,059,845.02
  5. Step 5: Solve for x
    x = 58,504,059,845.02/155,899.69
  6. Step 6: Final answer
    x = 375,267.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.