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Finding the Third Proportional to 148,793.20 and 212,689.55

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Solution

The third proportional to 148,793.20 and 212,689.55 is: 304,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,793.20 : 212,689.55 = 212,689.55 : x
  2. Step 2: Convert to fraction form
    148,793.20/212,689.55 = 212,689.55/x
  3. Step 3: Cross multiply
    148,793.20x = 212,689.55 × 212,689.55
  4. Step 4: Simplify right side
    148,793.20x = 45,236,843,349.89
  5. Step 5: Solve for x
    x = 45,236,843,349.89/148,793.20
  6. Step 6: Final answer
    x = 304,024.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.