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Finding the Third Proportional to 140,707.13 and 301,097.25

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Solution

The third proportional to 140,707.13 and 301,097.25 is: 644,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,707.13 : 301,097.25 = 301,097.25 : x
  2. Step 2: Convert to fraction form
    140,707.13/301,097.25 = 301,097.25/x
  3. Step 3: Cross multiply
    140,707.13x = 301,097.25 × 301,097.25
  4. Step 4: Simplify right side
    140,707.13x = 90,659,553,957.56
  5. Step 5: Solve for x
    x = 90,659,553,957.56/140,707.13
  6. Step 6: Final answer
    x = 644,313.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.