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Finding the Third Proportional to 148,542 and 302,250

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Solution

The third proportional to 148,542 and 302,250 is: 615,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,542 : 302,250 = 302,250 : x
  2. Step 2: Convert to fraction form
    148,542/302,250 = 302,250/x
  3. Step 3: Cross multiply
    148,542x = 302,250 × 302,250
  4. Step 4: Simplify right side
    148,542x = 91,355,062,500
  5. Step 5: Solve for x
    x = 91,355,062,500/148,542
  6. Step 6: Final answer
    x = 615,011.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.