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Finding the Third Proportional to 176,426 and 382,013

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Solution

The third proportional to 176,426 and 382,013 is: 827,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,426 : 382,013 = 382,013 : x
  2. Step 2: Convert to fraction form
    176,426/382,013 = 382,013/x
  3. Step 3: Cross multiply
    176,426x = 382,013 × 382,013
  4. Step 4: Simplify right side
    176,426x = 145,933,932,169
  5. Step 5: Solve for x
    x = 145,933,932,169/176,426
  6. Step 6: Final answer
    x = 827,167.95

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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.