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Finding the Third Proportional to 146,612 and 242,625

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Solution

The third proportional to 146,612 and 242,625 is: 401,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,612 : 242,625 = 242,625 : x
  2. Step 2: Convert to fraction form
    146,612/242,625 = 242,625/x
  3. Step 3: Cross multiply
    146,612x = 242,625 × 242,625
  4. Step 4: Simplify right side
    146,612x = 58,866,890,625
  5. Step 5: Solve for x
    x = 58,866,890,625/146,612
  6. Step 6: Final answer
    x = 401,514.82

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.