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Finding the Third Proportional to 144,111.38 and 230,221.13

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Solution

The third proportional to 144,111.38 and 230,221.13 is: 367,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,111.38 : 230,221.13 = 230,221.13 : x
  2. Step 2: Convert to fraction form
    144,111.38/230,221.13 = 230,221.13/x
  3. Step 3: Cross multiply
    144,111.38x = 230,221.13 × 230,221.13
  4. Step 4: Simplify right side
    144,111.38x = 53,001,766,396.27
  5. Step 5: Solve for x
    x = 53,001,766,396.27/144,111.38
  6. Step 6: Final answer
    x = 367,783.36

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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.