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Finding the Third Proportional to 117,830.25 and 254,337.75

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Solution

The third proportional to 117,830.25 and 254,337.75 is: 548,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,830.25 : 254,337.75 = 254,337.75 : x
  2. Step 2: Convert to fraction form
    117,830.25/254,337.75 = 254,337.75/x
  3. Step 3: Cross multiply
    117,830.25x = 254,337.75 × 254,337.75
  4. Step 4: Simplify right side
    117,830.25x = 64,687,691,075.06
  5. Step 5: Solve for x
    x = 64,687,691,075.06/117,830.25
  6. Step 6: Final answer
    x = 548,990.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.