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Finding the Third Proportional to 148,689.75 and 223,080.38

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Solution

The third proportional to 148,689.75 and 223,080.38 is: 334,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689.75 : 223,080.38 = 223,080.38 : x
  2. Step 2: Convert to fraction form
    148,689.75/223,080.38 = 223,080.38/x
  3. Step 3: Cross multiply
    148,689.75x = 223,080.38 × 223,080.38
  4. Step 4: Simplify right side
    148,689.75x = 49,764,853,710.14
  5. Step 5: Solve for x
    x = 49,764,853,710.14/148,689.75
  6. Step 6: Final answer
    x = 334,689.20

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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.