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Finding the Third Proportional to 114,682 and 251,396

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Solution

The third proportional to 114,682 and 251,396 is: 551,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,682 : 251,396 = 251,396 : x
  2. Step 2: Convert to fraction form
    114,682/251,396 = 251,396/x
  3. Step 3: Cross multiply
    114,682x = 251,396 × 251,396
  4. Step 4: Simplify right side
    114,682x = 63,199,948,816
  5. Step 5: Solve for x
    x = 63,199,948,816/114,682
  6. Step 6: Final answer
    x = 551,088.65

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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.