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Finding the Third Proportional to 114,999.75 and 251,449.31

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Solution

The third proportional to 114,999.75 and 251,449.31 is: 549,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,999.75 : 251,449.31 = 251,449.31 : x
  2. Step 2: Convert to fraction form
    114,999.75/251,449.31 = 251,449.31/x
  3. Step 3: Cross multiply
    114,999.75x = 251,449.31 × 251,449.31
  4. Step 4: Simplify right side
    114,999.75x = 63,226,756,756.72
  5. Step 5: Solve for x
    x = 63,226,756,756.72/114,999.75
  6. Step 6: Final answer
    x = 549,799.08

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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.