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Finding the Third Proportional to 144,102.38 and 230,207.06

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Solution

The third proportional to 144,102.38 and 230,207.06 is: 367,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,102.38 : 230,207.06 = 230,207.06 : x
  2. Step 2: Convert to fraction form
    144,102.38/230,207.06 = 230,207.06/x
  3. Step 3: Cross multiply
    144,102.38x = 230,207.06 × 230,207.06
  4. Step 4: Simplify right side
    144,102.38x = 52,995,291,624.88
  5. Step 5: Solve for x
    x = 52,995,291,624.88/144,102.38
  6. Step 6: Final answer
    x = 367,761.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.