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Finding the Third Proportional to 118,995 and 259,314

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Solution

The third proportional to 118,995 and 259,314 is: 565,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,995 : 259,314 = 259,314 : x
  2. Step 2: Convert to fraction form
    118,995/259,314 = 259,314/x
  3. Step 3: Cross multiply
    118,995x = 259,314 × 259,314
  4. Step 4: Simplify right side
    118,995x = 67,243,750,596
  5. Step 5: Solve for x
    x = 67,243,750,596/118,995
  6. Step 6: Final answer
    x = 565,097.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.