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Finding the Third Proportional to 110,927.25 and 242,959.50

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Solution

The third proportional to 110,927.25 and 242,959.50 is: 532,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,927.25 : 242,959.50 = 242,959.50 : x
  2. Step 2: Convert to fraction form
    110,927.25/242,959.50 = 242,959.50/x
  3. Step 3: Cross multiply
    110,927.25x = 242,959.50 × 242,959.50
  4. Step 4: Simplify right side
    110,927.25x = 59,029,318,640.25
  5. Step 5: Solve for x
    x = 59,029,318,640.25/110,927.25
  6. Step 6: Final answer
    x = 532,144.43

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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.