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Finding the Third Proportional to 152,695.13 and 232,201.69

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Solution

The third proportional to 152,695.13 and 232,201.69 is: 353,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,695.13 : 232,201.69 = 232,201.69 : x
  2. Step 2: Convert to fraction form
    152,695.13/232,201.69 = 232,201.69/x
  3. Step 3: Cross multiply
    152,695.13x = 232,201.69 × 232,201.69
  4. Step 4: Simplify right side
    152,695.13x = 53,917,623,677.85
  5. Step 5: Solve for x
    x = 53,917,623,677.85/152,695.13
  6. Step 6: Final answer
    x = 353,106.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.