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Finding the Third Proportional to 114,591 and 251,304

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Solution

The third proportional to 114,591 and 251,304 is: 551,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,591 : 251,304 = 251,304 : x
  2. Step 2: Convert to fraction form
    114,591/251,304 = 251,304/x
  3. Step 3: Cross multiply
    114,591x = 251,304 × 251,304
  4. Step 4: Simplify right side
    114,591x = 63,153,700,416
  5. Step 5: Solve for x
    x = 63,153,700,416/114,591
  6. Step 6: Final answer
    x = 551,122.69

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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.