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Finding the Third Proportional to 176,960 and 382,076

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Solution

The third proportional to 176,960 and 382,076 is: 824,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,960 : 382,076 = 382,076 : x
  2. Step 2: Convert to fraction form
    176,960/382,076 = 382,076/x
  3. Step 3: Cross multiply
    176,960x = 382,076 × 382,076
  4. Step 4: Simplify right side
    176,960x = 145,982,069,776
  5. Step 5: Solve for x
    x = 145,982,069,776/176,960
  6. Step 6: Final answer
    x = 824,943.88

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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.