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Finding the Third Proportional to 146,877 and 219,758

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Solution

The third proportional to 146,877 and 219,758 is: 328,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,877 : 219,758 = 219,758 : x
  2. Step 2: Convert to fraction form
    146,877/219,758 = 219,758/x
  3. Step 3: Cross multiply
    146,877x = 219,758 × 219,758
  4. Step 4: Simplify right side
    146,877x = 48,293,578,564
  5. Step 5: Solve for x
    x = 48,293,578,564/146,877
  6. Step 6: Final answer
    x = 328,802.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.