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Finding the Third Proportional to 147,116 and 225,413

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Solution

The third proportional to 147,116 and 225,413 is: 345,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,116 : 225,413 = 225,413 : x
  2. Step 2: Convert to fraction form
    147,116/225,413 = 225,413/x
  3. Step 3: Cross multiply
    147,116x = 225,413 × 225,413
  4. Step 4: Simplify right side
    147,116x = 50,811,020,569
  5. Step 5: Solve for x
    x = 50,811,020,569/147,116
  6. Step 6: Final answer
    x = 345,380.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.