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Finding the Third Proportional to 176,076 and 366,744

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Solution

The third proportional to 176,076 and 366,744 is: 763,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076 : 366,744 = 366,744 : x
  2. Step 2: Convert to fraction form
    176,076/366,744 = 366,744/x
  3. Step 3: Cross multiply
    176,076x = 366,744 × 366,744
  4. Step 4: Simplify right side
    176,076x = 134,501,161,536
  5. Step 5: Solve for x
    x = 134,501,161,536/176,076
  6. Step 6: Final answer
    x = 763,881.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.