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Finding the Third Proportional to 117,339.50 and 252,362.25

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Solution

The third proportional to 117,339.50 and 252,362.25 is: 542,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,339.50 : 252,362.25 = 252,362.25 : x
  2. Step 2: Convert to fraction form
    117,339.50/252,362.25 = 252,362.25/x
  3. Step 3: Cross multiply
    117,339.50x = 252,362.25 × 252,362.25
  4. Step 4: Simplify right side
    117,339.50x = 63,686,705,225.06
  5. Step 5: Solve for x
    x = 63,686,705,225.06/117,339.50
  6. Step 6: Final answer
    x = 542,755.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.