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Finding the Third Proportional to 114,982 and 250,213

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Solution

The third proportional to 114,982 and 250,213 is: 544,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,982 : 250,213 = 250,213 : x
  2. Step 2: Convert to fraction form
    114,982/250,213 = 250,213/x
  3. Step 3: Cross multiply
    114,982x = 250,213 × 250,213
  4. Step 4: Simplify right side
    114,982x = 62,606,545,369
  5. Step 5: Solve for x
    x = 62,606,545,369/114,982
  6. Step 6: Final answer
    x = 544,489.97

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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.