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Finding the Third Proportional to 170,019.56 and 273,010.92

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Solution

The third proportional to 170,019.56 and 273,010.92 is: 438,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,019.56 : 273,010.92 = 273,010.92 : x
  2. Step 2: Convert to fraction form
    170,019.56/273,010.92 = 273,010.92/x
  3. Step 3: Cross multiply
    170,019.56x = 273,010.92 × 273,010.92
  4. Step 4: Simplify right side
    170,019.56x = 74,534,963,463.04
  5. Step 5: Solve for x
    x = 74,534,963,463.04/170,019.56
  6. Step 6: Final answer
    x = 438,390.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.