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Finding the Third Proportional to 144,810.38 and 224,221.13

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Solution

The third proportional to 144,810.38 and 224,221.13 is: 347,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,810.38 : 224,221.13 = 224,221.13 : x
  2. Step 2: Convert to fraction form
    144,810.38/224,221.13 = 224,221.13/x
  3. Step 3: Cross multiply
    144,810.38x = 224,221.13 × 224,221.13
  4. Step 4: Simplify right side
    144,810.38x = 50,275,112,896.27
  5. Step 5: Solve for x
    x = 50,275,112,896.27/144,810.38
  6. Step 6: Final answer
    x = 347,178.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.