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Finding the Third Proportional to 176,428 and 382,017

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Solution

The third proportional to 176,428 and 382,017 is: 827,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,428 : 382,017 = 382,017 : x
  2. Step 2: Convert to fraction form
    176,428/382,017 = 382,017/x
  3. Step 3: Cross multiply
    176,428x = 382,017 × 382,017
  4. Step 4: Simplify right side
    176,428x = 145,936,988,289
  5. Step 5: Solve for x
    x = 145,936,988,289/176,428
  6. Step 6: Final answer
    x = 827,175.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.