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Finding the Third Proportional to 114,969 and 250,188

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Solution

The third proportional to 114,969 and 250,188 is: 544,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,969 : 250,188 = 250,188 : x
  2. Step 2: Convert to fraction form
    114,969/250,188 = 250,188/x
  3. Step 3: Cross multiply
    114,969x = 250,188 × 250,188
  4. Step 4: Simplify right side
    114,969x = 62,594,035,344
  5. Step 5: Solve for x
    x = 62,594,035,344/114,969
  6. Step 6: Final answer
    x = 544,442.72

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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.