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Finding the Third Proportional to 148,694 and 223,086

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Solution

The third proportional to 148,694 and 223,086 is: 334,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,694 : 223,086 = 223,086 : x
  2. Step 2: Convert to fraction form
    148,694/223,086 = 223,086/x
  3. Step 3: Cross multiply
    148,694x = 223,086 × 223,086
  4. Step 4: Simplify right side
    148,694x = 49,767,363,396
  5. Step 5: Solve for x
    x = 49,767,363,396/148,694
  6. Step 6: Final answer
    x = 334,696.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.