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Finding the Third Proportional to 206,347.50 and 296,385.75

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Solution

The third proportional to 206,347.50 and 296,385.75 is: 425,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.50 : 296,385.75 = 296,385.75 : x
  2. Step 2: Convert to fraction form
    206,347.50/296,385.75 = 296,385.75/x
  3. Step 3: Cross multiply
    206,347.50x = 296,385.75 × 296,385.75
  4. Step 4: Simplify right side
    206,347.50x = 87,844,512,803.06
  5. Step 5: Solve for x
    x = 87,844,512,803.06/206,347.50
  6. Step 6: Final answer
    x = 425,711.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.