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Finding the Third Proportional to 176,082 and 366,755

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Solution

The third proportional to 176,082 and 366,755 is: 763,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,082 : 366,755 = 366,755 : x
  2. Step 2: Convert to fraction form
    176,082/366,755 = 366,755/x
  3. Step 3: Cross multiply
    176,082x = 366,755 × 366,755
  4. Step 4: Simplify right side
    176,082x = 134,509,230,025
  5. Step 5: Solve for x
    x = 134,509,230,025/176,082
  6. Step 6: Final answer
    x = 763,901.08

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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.