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Finding the Third Proportional to 178,301.75 and 391,594.75

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Solution

The third proportional to 178,301.75 and 391,594.75 is: 860,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,301.75 : 391,594.75 = 391,594.75 : x
  2. Step 2: Convert to fraction form
    178,301.75/391,594.75 = 391,594.75/x
  3. Step 3: Cross multiply
    178,301.75x = 391,594.75 × 391,594.75
  4. Step 4: Simplify right side
    178,301.75x = 153,346,448,227.56
  5. Step 5: Solve for x
    x = 153,346,448,227.56/178,301.75
  6. Step 6: Final answer
    x = 860,038.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.