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Finding the Third Proportional to 175,980 and 283,340

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Solution

The third proportional to 175,980 and 283,340 is: 456,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,980 : 283,340 = 283,340 : x
  2. Step 2: Convert to fraction form
    175,980/283,340 = 283,340/x
  3. Step 3: Cross multiply
    175,980x = 283,340 × 283,340
  4. Step 4: Simplify right side
    175,980x = 80,281,555,600
  5. Step 5: Solve for x
    x = 80,281,555,600/175,980
  6. Step 6: Final answer
    x = 456,197.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.