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Finding the Third Proportional to 143,877.38 and 225,208.69

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Solution

The third proportional to 143,877.38 and 225,208.69 is: 352,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,877.38 : 225,208.69 = 225,208.69 : x
  2. Step 2: Convert to fraction form
    143,877.38/225,208.69 = 225,208.69/x
  3. Step 3: Cross multiply
    143,877.38x = 225,208.69 × 225,208.69
  4. Step 4: Simplify right side
    143,877.38x = 50,718,952,925.47
  5. Step 5: Solve for x
    x = 50,718,952,925.47/143,877.38
  6. Step 6: Final answer
    x = 352,515.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.