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Finding the Third Proportional to 148,095.84 and 223,188.75

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Solution

The third proportional to 148,095.84 and 223,188.75 is: 336,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,095.84 : 223,188.75 = 223,188.75 : x
  2. Step 2: Convert to fraction form
    148,095.84/223,188.75 = 223,188.75/x
  3. Step 3: Cross multiply
    148,095.84x = 223,188.75 × 223,188.75
  4. Step 4: Simplify right side
    148,095.84x = 49,813,218,126.56
  5. Step 5: Solve for x
    x = 49,813,218,126.56/148,095.84
  6. Step 6: Final answer
    x = 336,357.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.