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Finding the Third Proportional to 153,883.13 and 230,208.75

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Solution

The third proportional to 153,883.13 and 230,208.75 is: 344,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,883.13 : 230,208.75 = 230,208.75 : x
  2. Step 2: Convert to fraction form
    153,883.13/230,208.75 = 230,208.75/x
  3. Step 3: Cross multiply
    153,883.13x = 230,208.75 × 230,208.75
  4. Step 4: Simplify right side
    153,883.13x = 52,996,068,576.56
  5. Step 5: Solve for x
    x = 52,996,068,576.56/153,883.13
  6. Step 6: Final answer
    x = 344,391.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.