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Finding the Third Proportional to 185,650 and 381,136

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Solution

The third proportional to 185,650 and 381,136 is: 782,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,650 : 381,136 = 381,136 : x
  2. Step 2: Convert to fraction form
    185,650/381,136 = 381,136/x
  3. Step 3: Cross multiply
    185,650x = 381,136 × 381,136
  4. Step 4: Simplify right side
    185,650x = 145,264,650,496
  5. Step 5: Solve for x
    x = 145,264,650,496/185,650
  6. Step 6: Final answer
    x = 782,465.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.