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Finding the Third Proportional to 146,585 and 219,780

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Solution

The third proportional to 146,585 and 219,780 is: 329,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,585 : 219,780 = 219,780 : x
  2. Step 2: Convert to fraction form
    146,585/219,780 = 219,780/x
  3. Step 3: Cross multiply
    146,585x = 219,780 × 219,780
  4. Step 4: Simplify right side
    146,585x = 48,303,248,400
  5. Step 5: Solve for x
    x = 48,303,248,400/146,585
  6. Step 6: Final answer
    x = 329,523.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.