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Finding the Third Proportional to 153,262.88 and 227,707.13

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Solution

The third proportional to 153,262.88 and 227,707.13 is: 338,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,262.88 : 227,707.13 = 227,707.13 : x
  2. Step 2: Convert to fraction form
    153,262.88/227,707.13 = 227,707.13/x
  3. Step 3: Cross multiply
    153,262.88x = 227,707.13 × 227,707.13
  4. Step 4: Simplify right side
    153,262.88x = 51,850,534,775.77
  5. Step 5: Solve for x
    x = 51,850,534,775.77/153,262.88
  6. Step 6: Final answer
    x = 338,311.12

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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.