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Finding the Third Proportional to 114,996 and 251,448

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Solution

The third proportional to 114,996 and 251,448 is: 549,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,996 : 251,448 = 251,448 : x
  2. Step 2: Convert to fraction form
    114,996/251,448 = 251,448/x
  3. Step 3: Cross multiply
    114,996x = 251,448 × 251,448
  4. Step 4: Simplify right side
    114,996x = 63,226,096,704
  5. Step 5: Solve for x
    x = 63,226,096,704/114,996
  6. Step 6: Final answer
    x = 549,811.27

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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.