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Finding the Third Proportional to 121,184 and 259,216

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Solution

The third proportional to 121,184 and 259,216 is: 554,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,184 : 259,216 = 259,216 : x
  2. Step 2: Convert to fraction form
    121,184/259,216 = 259,216/x
  3. Step 3: Cross multiply
    121,184x = 259,216 × 259,216
  4. Step 4: Simplify right side
    121,184x = 67,192,934,656
  5. Step 5: Solve for x
    x = 67,192,934,656/121,184
  6. Step 6: Final answer
    x = 554,470.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.