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Finding the Third Proportional to 176,810 and 381,865

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Solution

The third proportional to 176,810 and 381,865 is: 824,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,810 : 381,865 = 381,865 : x
  2. Step 2: Convert to fraction form
    176,810/381,865 = 381,865/x
  3. Step 3: Cross multiply
    176,810x = 381,865 × 381,865
  4. Step 4: Simplify right side
    176,810x = 145,820,878,225
  5. Step 5: Solve for x
    x = 145,820,878,225/176,810
  6. Step 6: Final answer
    x = 824,732.08

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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.