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Finding the Third Proportional to 114,134 and 274,959

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Solution

The third proportional to 114,134 and 274,959 is: 662,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,134 : 274,959 = 274,959 : x
  2. Step 2: Convert to fraction form
    114,134/274,959 = 274,959/x
  3. Step 3: Cross multiply
    114,134x = 274,959 × 274,959
  4. Step 4: Simplify right side
    114,134x = 75,602,451,681
  5. Step 5: Solve for x
    x = 75,602,451,681/114,134
  6. Step 6: Final answer
    x = 662,400.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.