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Finding the Third Proportional to 121,214 and 259,276

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Solution

The third proportional to 121,214 and 259,276 is: 554,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,214 : 259,276 = 259,276 : x
  2. Step 2: Convert to fraction form
    121,214/259,276 = 259,276/x
  3. Step 3: Cross multiply
    121,214x = 259,276 × 259,276
  4. Step 4: Simplify right side
    121,214x = 67,224,044,176
  5. Step 5: Solve for x
    x = 67,224,044,176/121,214
  6. Step 6: Final answer
    x = 554,589.77

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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.