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Finding the Third Proportional to 148,998.75 and 324,595.88

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Solution

The third proportional to 148,998.75 and 324,595.88 is: 707,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,998.75 : 324,595.88 = 324,595.88 : x
  2. Step 2: Convert to fraction form
    148,998.75/324,595.88 = 324,595.88/x
  3. Step 3: Cross multiply
    148,998.75x = 324,595.88 × 324,595.88
  4. Step 4: Simplify right side
    148,998.75x = 105,362,482,067.02
  5. Step 5: Solve for x
    x = 105,362,482,067.02/148,998.75
  6. Step 6: Final answer
    x = 707,136.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.