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Finding the Third Proportional to 178,438.50 and 262,725.75

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Solution

The third proportional to 178,438.50 and 262,725.75 is: 386,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,438.50 : 262,725.75 = 262,725.75 : x
  2. Step 2: Convert to fraction form
    178,438.50/262,725.75 = 262,725.75/x
  3. Step 3: Cross multiply
    178,438.50x = 262,725.75 × 262,725.75
  4. Step 4: Simplify right side
    178,438.50x = 69,024,819,713.06
  5. Step 5: Solve for x
    x = 69,024,819,713.06/178,438.50
  6. Step 6: Final answer
    x = 386,826.94

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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.