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Finding the Third Proportional to 140,962.50 and 206,151.75

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Solution

The third proportional to 140,962.50 and 206,151.75 is: 301,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,962.50 : 206,151.75 = 206,151.75 : x
  2. Step 2: Convert to fraction form
    140,962.50/206,151.75 = 206,151.75/x
  3. Step 3: Cross multiply
    140,962.50x = 206,151.75 × 206,151.75
  4. Step 4: Simplify right side
    140,962.50x = 42,498,544,028.06
  5. Step 5: Solve for x
    x = 42,498,544,028.06/140,962.50
  6. Step 6: Final answer
    x = 301,488.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.