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Finding the Third Proportional to 114,712 and 251,454

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Solution

The third proportional to 114,712 and 251,454 is: 551,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,712 : 251,454 = 251,454 : x
  2. Step 2: Convert to fraction form
    114,712/251,454 = 251,454/x
  3. Step 3: Cross multiply
    114,712x = 251,454 × 251,454
  4. Step 4: Simplify right side
    114,712x = 63,229,114,116
  5. Step 5: Solve for x
    x = 63,229,114,116/114,712
  6. Step 6: Final answer
    x = 551,198.78

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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.