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Finding the Third Proportional to 136,529.30 and 204,794.02

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Solution

The third proportional to 136,529.30 and 204,794.02 is: 307,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,529.30 : 204,794.02 = 204,794.02 : x
  2. Step 2: Convert to fraction form
    136,529.30/204,794.02 = 204,794.02/x
  3. Step 3: Cross multiply
    136,529.30x = 204,794.02 × 204,794.02
  4. Step 4: Simplify right side
    136,529.30x = 41,940,588,835.81
  5. Step 5: Solve for x
    x = 41,940,588,835.81/136,529.30
  6. Step 6: Final answer
    x = 307,191.13

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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.