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Finding the Third Proportional to 114,992 and 251,360

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Solution

The third proportional to 114,992 and 251,360 is: 549,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,992 : 251,360 = 251,360 : x
  2. Step 2: Convert to fraction form
    114,992/251,360 = 251,360/x
  3. Step 3: Cross multiply
    114,992x = 251,360 × 251,360
  4. Step 4: Simplify right side
    114,992x = 63,181,849,600
  5. Step 5: Solve for x
    x = 63,181,849,600/114,992
  6. Step 6: Final answer
    x = 549,445.61

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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.