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Finding the Third Proportional to 136,964 and 284,680

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Solution

The third proportional to 136,964 and 284,680 is: 591,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,964 : 284,680 = 284,680 : x
  2. Step 2: Convert to fraction form
    136,964/284,680 = 284,680/x
  3. Step 3: Cross multiply
    136,964x = 284,680 × 284,680
  4. Step 4: Simplify right side
    136,964x = 81,042,702,400
  5. Step 5: Solve for x
    x = 81,042,702,400/136,964
  6. Step 6: Final answer
    x = 591,708.06

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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.