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Finding the Third Proportional to 144,488.81 and 230,115.94

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Solution

The third proportional to 144,488.81 and 230,115.94 is: 366,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,488.81 : 230,115.94 = 230,115.94 : x
  2. Step 2: Convert to fraction form
    144,488.81/230,115.94 = 230,115.94/x
  3. Step 3: Cross multiply
    144,488.81x = 230,115.94 × 230,115.94
  4. Step 4: Simplify right side
    144,488.81x = 52,953,344,691.50
  5. Step 5: Solve for x
    x = 52,953,344,691.50/144,488.81
  6. Step 6: Final answer
    x = 366,487.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.