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Finding the Third Proportional to 114,684 and 251,502

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Solution

The third proportional to 114,684 and 251,502 is: 551,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,684 : 251,502 = 251,502 : x
  2. Step 2: Convert to fraction form
    114,684/251,502 = 251,502/x
  3. Step 3: Cross multiply
    114,684x = 251,502 × 251,502
  4. Step 4: Simplify right side
    114,684x = 63,253,256,004
  5. Step 5: Solve for x
    x = 63,253,256,004/114,684
  6. Step 6: Final answer
    x = 551,543.86

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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.