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Finding the Third Proportional to 134,700 and 283,350

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Solution

The third proportional to 134,700 and 283,350 is: 596,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,700 : 283,350 = 283,350 : x
  2. Step 2: Convert to fraction form
    134,700/283,350 = 283,350/x
  3. Step 3: Cross multiply
    134,700x = 283,350 × 283,350
  4. Step 4: Simplify right side
    134,700x = 80,287,222,500
  5. Step 5: Solve for x
    x = 80,287,222,500/134,700
  6. Step 6: Final answer
    x = 596,044.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.