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Finding the Third Proportional to 145,737 and 219,663

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Solution

The third proportional to 145,737 and 219,663 is: 331,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,737 : 219,663 = 219,663 : x
  2. Step 2: Convert to fraction form
    145,737/219,663 = 219,663/x
  3. Step 3: Cross multiply
    145,737x = 219,663 × 219,663
  4. Step 4: Simplify right side
    145,737x = 48,251,833,569
  5. Step 5: Solve for x
    x = 48,251,833,569/145,737
  6. Step 6: Final answer
    x = 331,088.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.