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Finding the Third Proportional to 115,275.38 and 236,291.63

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Solution

The third proportional to 115,275.38 and 236,291.63 is: 484,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,275.38 : 236,291.63 = 236,291.63 : x
  2. Step 2: Convert to fraction form
    115,275.38/236,291.63 = 236,291.63/x
  3. Step 3: Cross multiply
    115,275.38x = 236,291.63 × 236,291.63
  4. Step 4: Simplify right side
    115,275.38x = 55,833,732,045.14
  5. Step 5: Solve for x
    x = 55,833,732,045.14/115,275.38
  6. Step 6: Final answer
    x = 484,350.90

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.