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Finding the Third Proportional to 230,160 and 361,656

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Solution

The third proportional to 230,160 and 361,656 is: 568,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160 : 361,656 = 361,656 : x
  2. Step 2: Convert to fraction form
    230,160/361,656 = 361,656/x
  3. Step 3: Cross multiply
    230,160x = 361,656 × 361,656
  4. Step 4: Simplify right side
    230,160x = 130,795,062,336
  5. Step 5: Solve for x
    x = 130,795,062,336/230,160
  6. Step 6: Final answer
    x = 568,278.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.