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Finding the Third Proportional to 80,247.80 and 169,448.63

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Solution

The third proportional to 80,247.80 and 169,448.63 is: 357,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,247.80 : 169,448.63 = 169,448.63 : x
  2. Step 2: Convert to fraction form
    80,247.80/169,448.63 = 169,448.63/x
  3. Step 3: Cross multiply
    80,247.80x = 169,448.63 × 169,448.63
  4. Step 4: Simplify right side
    80,247.80x = 28,712,836,514.39
  5. Step 5: Solve for x
    x = 28,712,836,514.39/80,247.80
  6. Step 6: Final answer
    x = 357,802.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.