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Finding the Third Proportional to 136,246 and 329,680

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Solution

The third proportional to 136,246 and 329,680 is: 797,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,246 : 329,680 = 329,680 : x
  2. Step 2: Convert to fraction form
    136,246/329,680 = 329,680/x
  3. Step 3: Cross multiply
    136,246x = 329,680 × 329,680
  4. Step 4: Simplify right side
    136,246x = 108,688,902,400
  5. Step 5: Solve for x
    x = 108,688,902,400/136,246
  6. Step 6: Final answer
    x = 797,740.13

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.