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Finding the Third Proportional to 153,800 and 206,940

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Solution

The third proportional to 153,800 and 206,940 is: 278,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,800 : 206,940 = 206,940 : x
  2. Step 2: Convert to fraction form
    153,800/206,940 = 206,940/x
  3. Step 3: Cross multiply
    153,800x = 206,940 × 206,940
  4. Step 4: Simplify right side
    153,800x = 42,824,163,600
  5. Step 5: Solve for x
    x = 42,824,163,600/153,800
  6. Step 6: Final answer
    x = 278,440.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.