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Finding the Third Proportional to 148,731.19 and 223,426.16

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Solution

The third proportional to 148,731.19 and 223,426.16 is: 335,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,731.19 : 223,426.16 = 223,426.16 : x
  2. Step 2: Convert to fraction form
    148,731.19/223,426.16 = 223,426.16/x
  3. Step 3: Cross multiply
    148,731.19x = 223,426.16 × 223,426.16
  4. Step 4: Simplify right side
    148,731.19x = 49,919,249,042.17
  5. Step 5: Solve for x
    x = 49,919,249,042.17/148,731.19
  6. Step 6: Final answer
    x = 335,634.04

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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.