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Finding the Third Proportional to 118,549 and 259,229

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Solution

The third proportional to 118,549 and 259,229 is: 566,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,549 : 259,229 = 259,229 : x
  2. Step 2: Convert to fraction form
    118,549/259,229 = 259,229/x
  3. Step 3: Cross multiply
    118,549x = 259,229 × 259,229
  4. Step 4: Simplify right side
    118,549x = 67,199,674,441
  5. Step 5: Solve for x
    x = 67,199,674,441/118,549
  6. Step 6: Final answer
    x = 566,851.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.