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Finding the Third Proportional to 178,758 and 372,217

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Solution

The third proportional to 178,758 and 372,217 is: 775,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,758 : 372,217 = 372,217 : x
  2. Step 2: Convert to fraction form
    178,758/372,217 = 372,217/x
  3. Step 3: Cross multiply
    178,758x = 372,217 × 372,217
  4. Step 4: Simplify right side
    178,758x = 138,545,495,089
  5. Step 5: Solve for x
    x = 138,545,495,089/178,758
  6. Step 6: Final answer
    x = 775,045.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.