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Finding the Third Proportional to 114,991 and 251,357

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Solution

The third proportional to 114,991 and 251,357 is: 549,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,991 : 251,357 = 251,357 : x
  2. Step 2: Convert to fraction form
    114,991/251,357 = 251,357/x
  3. Step 3: Cross multiply
    114,991x = 251,357 × 251,357
  4. Step 4: Simplify right side
    114,991x = 63,180,341,449
  5. Step 5: Solve for x
    x = 63,180,341,449/114,991
  6. Step 6: Final answer
    x = 549,437.27

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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.