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Finding the Third Proportional to 81,790 and 176,470

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Solution

The third proportional to 81,790 and 176,470 is: 380,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,790 : 176,470 = 176,470 : x
  2. Step 2: Convert to fraction form
    81,790/176,470 = 176,470/x
  3. Step 3: Cross multiply
    81,790x = 176,470 × 176,470
  4. Step 4: Simplify right side
    81,790x = 31,141,660,900
  5. Step 5: Solve for x
    x = 31,141,660,900/81,790
  6. Step 6: Final answer
    x = 380,751.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.