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Finding the Third Proportional to 136,236.38 and 204,400.13

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Solution

The third proportional to 136,236.38 and 204,400.13 is: 306,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,236.38 : 204,400.13 = 204,400.13 : x
  2. Step 2: Convert to fraction form
    136,236.38/204,400.13 = 204,400.13/x
  3. Step 3: Cross multiply
    136,236.38x = 204,400.13 × 204,400.13
  4. Step 4: Simplify right side
    136,236.38x = 41,779,411,100.02
  5. Step 5: Solve for x
    x = 41,779,411,100.02/136,236.38
  6. Step 6: Final answer
    x = 306,668.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.