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Finding the Third Proportional to 80,740.13 and 176,784.19

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Solution

The third proportional to 80,740.13 and 176,784.19 is: 387,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,740.13 : 176,784.19 = 176,784.19 : x
  2. Step 2: Convert to fraction form
    80,740.13/176,784.19 = 176,784.19/x
  3. Step 3: Cross multiply
    80,740.13x = 176,784.19 × 176,784.19
  4. Step 4: Simplify right side
    80,740.13x = 31,252,648,950.04
  5. Step 5: Solve for x
    x = 31,252,648,950.04/80,740.13
  6. Step 6: Final answer
    x = 387,077.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.