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Finding the Third Proportional to 145,917 and 225,348.75

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Solution

The third proportional to 145,917 and 225,348.75 is: 348,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,917 : 225,348.75 = 225,348.75 : x
  2. Step 2: Convert to fraction form
    145,917/225,348.75 = 225,348.75/x
  3. Step 3: Cross multiply
    145,917x = 225,348.75 × 225,348.75
  4. Step 4: Simplify right side
    145,917x = 50,782,059,126.56
  5. Step 5: Solve for x
    x = 50,782,059,126.56/145,917
  6. Step 6: Final answer
    x = 348,020.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.