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Finding the Third Proportional to 177,501 and 387,527.75

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Solution

The third proportional to 177,501 and 387,527.75 is: 846,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,501 : 387,527.75 = 387,527.75 : x
  2. Step 2: Convert to fraction form
    177,501/387,527.75 = 387,527.75/x
  3. Step 3: Cross multiply
    177,501x = 387,527.75 × 387,527.75
  4. Step 4: Simplify right side
    177,501x = 150,177,757,020.06
  5. Step 5: Solve for x
    x = 150,177,757,020.06/177,501
  6. Step 6: Final answer
    x = 846,067.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.