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Finding the Third Proportional to 179,820 and 387,342

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Solution

The third proportional to 179,820 and 387,342 is: 834,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,820 : 387,342 = 387,342 : x
  2. Step 2: Convert to fraction form
    179,820/387,342 = 387,342/x
  3. Step 3: Cross multiply
    179,820x = 387,342 × 387,342
  4. Step 4: Simplify right side
    179,820x = 150,033,824,964
  5. Step 5: Solve for x
    x = 150,033,824,964/179,820
  6. Step 6: Final answer
    x = 834,355.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.