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Finding the Third Proportional to 116,018 and 247,216

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Solution

The third proportional to 116,018 and 247,216 is: 526,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,018 : 247,216 = 247,216 : x
  2. Step 2: Convert to fraction form
    116,018/247,216 = 247,216/x
  3. Step 3: Cross multiply
    116,018x = 247,216 × 247,216
  4. Step 4: Simplify right side
    116,018x = 61,115,750,656
  5. Step 5: Solve for x
    x = 61,115,750,656/116,018
  6. Step 6: Final answer
    x = 526,778.18

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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.