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Finding the Third Proportional to 114,670.97 and 259,070.75

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Solution

The third proportional to 114,670.97 and 259,070.75 is: 585,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,670.97 : 259,070.75 = 259,070.75 : x
  2. Step 2: Convert to fraction form
    114,670.97/259,070.75 = 259,070.75/x
  3. Step 3: Cross multiply
    114,670.97x = 259,070.75 × 259,070.75
  4. Step 4: Simplify right side
    114,670.97x = 67,117,653,505.56
  5. Step 5: Solve for x
    x = 67,117,653,505.56/114,670.97
  6. Step 6: Final answer
    x = 585,306.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.