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Finding the Third Proportional to 114,986 and 251,348

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Solution

The third proportional to 114,986 and 251,348 is: 549,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,986 : 251,348 = 251,348 : x
  2. Step 2: Convert to fraction form
    114,986/251,348 = 251,348/x
  3. Step 3: Cross multiply
    114,986x = 251,348 × 251,348
  4. Step 4: Simplify right side
    114,986x = 63,175,817,104
  5. Step 5: Solve for x
    x = 63,175,817,104/114,986
  6. Step 6: Final answer
    x = 549,421.82

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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.