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Finding the Third Proportional to 176,366 and 370,204

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Solution

The third proportional to 176,366 and 370,204 is: 777,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,366 : 370,204 = 370,204 : x
  2. Step 2: Convert to fraction form
    176,366/370,204 = 370,204/x
  3. Step 3: Cross multiply
    176,366x = 370,204 × 370,204
  4. Step 4: Simplify right side
    176,366x = 137,051,001,616
  5. Step 5: Solve for x
    x = 137,051,001,616/176,366
  6. Step 6: Final answer
    x = 777,082.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.