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Finding the Third Proportional to 136,084 and 294,074

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Solution

The third proportional to 136,084 and 294,074 is: 635,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,084 : 294,074 = 294,074 : x
  2. Step 2: Convert to fraction form
    136,084/294,074 = 294,074/x
  3. Step 3: Cross multiply
    136,084x = 294,074 × 294,074
  4. Step 4: Simplify right side
    136,084x = 86,479,517,476
  5. Step 5: Solve for x
    x = 86,479,517,476/136,084
  6. Step 6: Final answer
    x = 635,486.30

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Why These Related Problems?

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