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Finding the Third Proportional to 154,042.25 and 206,044.50

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Solution

The third proportional to 154,042.25 and 206,044.50 is: 275,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,042.25 : 206,044.50 = 206,044.50 : x
  2. Step 2: Convert to fraction form
    154,042.25/206,044.50 = 206,044.50/x
  3. Step 3: Cross multiply
    154,042.25x = 206,044.50 × 206,044.50
  4. Step 4: Simplify right side
    154,042.25x = 42,454,335,980.25
  5. Step 5: Solve for x
    x = 42,454,335,980.25/154,042.25
  6. Step 6: Final answer
    x = 275,601.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.