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Finding the Third Proportional to 114,981 and 251,337

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Solution

The third proportional to 114,981 and 251,337 is: 549,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,981 : 251,337 = 251,337 : x
  2. Step 2: Convert to fraction form
    114,981/251,337 = 251,337/x
  3. Step 3: Cross multiply
    114,981x = 251,337 × 251,337
  4. Step 4: Simplify right side
    114,981x = 63,170,287,569
  5. Step 5: Solve for x
    x = 63,170,287,569/114,981
  6. Step 6: Final answer
    x = 549,397.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.