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Finding the Third Proportional to 115,540 and 245,656

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Solution

The third proportional to 115,540 and 245,656 is: 522,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,540 : 245,656 = 245,656 : x
  2. Step 2: Convert to fraction form
    115,540/245,656 = 245,656/x
  3. Step 3: Cross multiply
    115,540x = 245,656 × 245,656
  4. Step 4: Simplify right side
    115,540x = 60,346,870,336
  5. Step 5: Solve for x
    x = 60,346,870,336/115,540
  6. Step 6: Final answer
    x = 522,302.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.