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Finding the Third Proportional to 136,264 and 293,246

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Solution

The third proportional to 136,264 and 293,246 is: 631,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,264 : 293,246 = 293,246 : x
  2. Step 2: Convert to fraction form
    136,264/293,246 = 293,246/x
  3. Step 3: Cross multiply
    136,264x = 293,246 × 293,246
  4. Step 4: Simplify right side
    136,264x = 85,993,216,516
  5. Step 5: Solve for x
    x = 85,993,216,516/136,264
  6. Step 6: Final answer
    x = 631,078.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.