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Finding the Third Proportional to 114,550 and 251,684

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Solution

The third proportional to 114,550 and 251,684 is: 552,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,550 : 251,684 = 251,684 : x
  2. Step 2: Convert to fraction form
    114,550/251,684 = 251,684/x
  3. Step 3: Cross multiply
    114,550x = 251,684 × 251,684
  4. Step 4: Simplify right side
    114,550x = 63,344,835,856
  5. Step 5: Solve for x
    x = 63,344,835,856/114,550
  6. Step 6: Final answer
    x = 552,988.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.