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Finding the Third Proportional to 144,159.75 and 215,046.14

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Solution

The third proportional to 144,159.75 and 215,046.14 is: 320,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,159.75 : 215,046.14 = 215,046.14 : x
  2. Step 2: Convert to fraction form
    144,159.75/215,046.14 = 215,046.14/x
  3. Step 3: Cross multiply
    144,159.75x = 215,046.14 × 215,046.14
  4. Step 4: Simplify right side
    144,159.75x = 46,244,842,597.71
  5. Step 5: Solve for x
    x = 46,244,842,597.71/144,159.75
  6. Step 6: Final answer
    x = 320,788.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.