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Finding the Third Proportional to 176,747 and 381,511

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Solution

The third proportional to 176,747 and 381,511 is: 823,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,747 : 381,511 = 381,511 : x
  2. Step 2: Convert to fraction form
    176,747/381,511 = 381,511/x
  3. Step 3: Cross multiply
    176,747x = 381,511 × 381,511
  4. Step 4: Simplify right side
    176,747x = 145,550,643,121
  5. Step 5: Solve for x
    x = 145,550,643,121/176,747
  6. Step 6: Final answer
    x = 823,497.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.