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Finding the Third Proportional to 153,262.13 and 227,706.19

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Solution

The third proportional to 153,262.13 and 227,706.19 is: 338,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,262.13 : 227,706.19 = 227,706.19 : x
  2. Step 2: Convert to fraction form
    153,262.13/227,706.19 = 227,706.19/x
  3. Step 3: Cross multiply
    153,262.13x = 227,706.19 × 227,706.19
  4. Step 4: Simplify right side
    153,262.13x = 51,850,107,825.79
  5. Step 5: Solve for x
    x = 51,850,107,825.79/153,262.13
  6. Step 6: Final answer
    x = 338,309.99

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