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Finding the Third Proportional to 136,049 and 214,506

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Solution

The third proportional to 136,049 and 214,506 is: 338,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,049 : 214,506 = 214,506 : x
  2. Step 2: Convert to fraction form
    136,049/214,506 = 214,506/x
  3. Step 3: Cross multiply
    136,049x = 214,506 × 214,506
  4. Step 4: Simplify right side
    136,049x = 46,012,824,036
  5. Step 5: Solve for x
    x = 46,012,824,036/136,049
  6. Step 6: Final answer
    x = 338,207.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.