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Finding the Third Proportional to 146,439 and 304,542

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Solution

The third proportional to 146,439 and 304,542 is: 633,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,439 : 304,542 = 304,542 : x
  2. Step 2: Convert to fraction form
    146,439/304,542 = 304,542/x
  3. Step 3: Cross multiply
    146,439x = 304,542 × 304,542
  4. Step 4: Simplify right side
    146,439x = 92,745,829,764
  5. Step 5: Solve for x
    x = 92,745,829,764/146,439
  6. Step 6: Final answer
    x = 633,341.05

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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.