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Finding the Third Proportional to 151,482.38 and 230,371.59

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Solution

The third proportional to 151,482.38 and 230,371.59 is: 350,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,482.38 : 230,371.59 = 230,371.59 : x
  2. Step 2: Convert to fraction form
    151,482.38/230,371.59 = 230,371.59/x
  3. Step 3: Cross multiply
    151,482.38x = 230,371.59 × 230,371.59
  4. Step 4: Simplify right side
    151,482.38x = 53,071,071,206.92
  5. Step 5: Solve for x
    x = 53,071,071,206.92/151,482.38
  6. Step 6: Final answer
    x = 350,344.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.