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Finding the Third Proportional to 174,723.75 and 378,010.13

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Solution

The third proportional to 174,723.75 and 378,010.13 is: 817,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,723.75 : 378,010.13 = 378,010.13 : x
  2. Step 2: Convert to fraction form
    174,723.75/378,010.13 = 378,010.13/x
  3. Step 3: Cross multiply
    174,723.75x = 378,010.13 × 378,010.13
  4. Step 4: Simplify right side
    174,723.75x = 142,891,654,602.52
  5. Step 5: Solve for x
    x = 142,891,654,602.52/174,723.75
  6. Step 6: Final answer
    x = 817,814.72

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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.