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Finding the Third Proportional to 178,344 and 244,552.50

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Solution

The third proportional to 178,344 and 244,552.50 is: 335,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,344 : 244,552.50 = 244,552.50 : x
  2. Step 2: Convert to fraction form
    178,344/244,552.50 = 244,552.50/x
  3. Step 3: Cross multiply
    178,344x = 244,552.50 × 244,552.50
  4. Step 4: Simplify right side
    178,344x = 59,805,925,256.25
  5. Step 5: Solve for x
    x = 59,805,925,256.25/178,344
  6. Step 6: Final answer
    x = 335,340.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.