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Finding the Third Proportional to 136,260 and 204,435

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Solution

The third proportional to 136,260 and 204,435 is: 306,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,260 : 204,435 = 204,435 : x
  2. Step 2: Convert to fraction form
    136,260/204,435 = 204,435/x
  3. Step 3: Cross multiply
    136,260x = 204,435 × 204,435
  4. Step 4: Simplify right side
    136,260x = 41,793,669,225
  5. Step 5: Solve for x
    x = 41,793,669,225/136,260
  6. Step 6: Final answer
    x = 306,720.01

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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.