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Finding the Third Proportional to 151,449.75 and 322,582.50

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Solution

The third proportional to 151,449.75 and 322,582.50 is: 687,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,449.75 : 322,582.50 = 322,582.50 : x
  2. Step 2: Convert to fraction form
    151,449.75/322,582.50 = 322,582.50/x
  3. Step 3: Cross multiply
    151,449.75x = 322,582.50 × 322,582.50
  4. Step 4: Simplify right side
    151,449.75x = 104,059,469,306.25
  5. Step 5: Solve for x
    x = 104,059,469,306.25/151,449.75
  6. Step 6: Final answer
    x = 687,089.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.