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Finding the Third Proportional to 185,952 and 381,706

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Solution

The third proportional to 185,952 and 381,706 is: 783,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,952 : 381,706 = 381,706 : x
  2. Step 2: Convert to fraction form
    185,952/381,706 = 381,706/x
  3. Step 3: Cross multiply
    185,952x = 381,706 × 381,706
  4. Step 4: Simplify right side
    185,952x = 145,699,470,436
  5. Step 5: Solve for x
    x = 145,699,470,436/185,952
  6. Step 6: Final answer
    x = 783,532.69

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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.