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Finding the Third Proportional to 145,626 and 219,463

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Solution

The third proportional to 145,626 and 219,463 is: 330,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,626 : 219,463 = 219,463 : x
  2. Step 2: Convert to fraction form
    145,626/219,463 = 219,463/x
  3. Step 3: Cross multiply
    145,626x = 219,463 × 219,463
  4. Step 4: Simplify right side
    145,626x = 48,164,008,369
  5. Step 5: Solve for x
    x = 48,164,008,369/145,626
  6. Step 6: Final answer
    x = 330,737.70

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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.