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Finding the Third Proportional to 136,016 and 296,120

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Solution

The third proportional to 136,016 and 296,120 is: 644,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,016 : 296,120 = 296,120 : x
  2. Step 2: Convert to fraction form
    136,016/296,120 = 296,120/x
  3. Step 3: Cross multiply
    136,016x = 296,120 × 296,120
  4. Step 4: Simplify right side
    136,016x = 87,687,054,400
  5. Step 5: Solve for x
    x = 87,687,054,400/136,016
  6. Step 6: Final answer
    x = 644,681.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.