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Finding the Third Proportional to 70,562.38 and 152,203.75

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Solution

The third proportional to 70,562.38 and 152,203.75 is: 328,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,562.38 : 152,203.75 = 152,203.75 : x
  2. Step 2: Convert to fraction form
    70,562.38/152,203.75 = 152,203.75/x
  3. Step 3: Cross multiply
    70,562.38x = 152,203.75 × 152,203.75
  4. Step 4: Simplify right side
    70,562.38x = 23,165,981,514.06
  5. Step 5: Solve for x
    x = 23,165,981,514.06/70,562.38
  6. Step 6: Final answer
    x = 328,305.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.