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Finding the Third Proportional to 136,220 and 204,516

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Solution

The third proportional to 136,220 and 204,516 is: 307,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,220 : 204,516 = 204,516 : x
  2. Step 2: Convert to fraction form
    136,220/204,516 = 204,516/x
  3. Step 3: Cross multiply
    136,220x = 204,516 × 204,516
  4. Step 4: Simplify right side
    136,220x = 41,826,794,256
  5. Step 5: Solve for x
    x = 41,826,794,256/136,220
  6. Step 6: Final answer
    x = 307,053.25

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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.