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Finding the Third Proportional to 110,812.50 and 244,953

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Solution

The third proportional to 110,812.50 and 244,953 is: 541,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,812.50 : 244,953 = 244,953 : x
  2. Step 2: Convert to fraction form
    110,812.50/244,953 = 244,953/x
  3. Step 3: Cross multiply
    110,812.50x = 244,953 × 244,953
  4. Step 4: Simplify right side
    110,812.50x = 60,001,972,209
  5. Step 5: Solve for x
    x = 60,001,972,209/110,812.50
  6. Step 6: Final answer
    x = 541,472.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.