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Finding the Third Proportional to 148,542 and 309,320

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Solution

The third proportional to 148,542 and 309,320 is: 644,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,542 : 309,320 = 309,320 : x
  2. Step 2: Convert to fraction form
    148,542/309,320 = 309,320/x
  3. Step 3: Cross multiply
    148,542x = 309,320 × 309,320
  4. Step 4: Simplify right side
    148,542x = 95,678,862,400
  5. Step 5: Solve for x
    x = 95,678,862,400/148,542
  6. Step 6: Final answer
    x = 644,119.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.