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Finding the Third Proportional to 178,456.50 and 262,750.50

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Solution

The third proportional to 178,456.50 and 262,750.50 is: 386,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,456.50 : 262,750.50 = 262,750.50 : x
  2. Step 2: Convert to fraction form
    178,456.50/262,750.50 = 262,750.50/x
  3. Step 3: Cross multiply
    178,456.50x = 262,750.50 × 262,750.50
  4. Step 4: Simplify right side
    178,456.50x = 69,037,825,250.25
  5. Step 5: Solve for x
    x = 69,037,825,250.25/178,456.50
  6. Step 6: Final answer
    x = 386,860.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.