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Finding the Third Proportional to 153,877.85 and 230,201.68

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Solution

The third proportional to 153,877.85 and 230,201.68 is: 344,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,877.85 : 230,201.68 = 230,201.68 : x
  2. Step 2: Convert to fraction form
    153,877.85/230,201.68 = 230,201.68/x
  3. Step 3: Cross multiply
    153,877.85x = 230,201.68 × 230,201.68
  4. Step 4: Simplify right side
    153,877.85x = 52,992,815,129.40
  5. Step 5: Solve for x
    x = 52,992,815,129.40/153,877.85
  6. Step 6: Final answer
    x = 344,382.34

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Why These Related Problems?

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