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Finding the Third Proportional to 179,334 and 377,257.50

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Solution

The third proportional to 179,334 and 377,257.50 is: 793,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,334 : 377,257.50 = 377,257.50 : x
  2. Step 2: Convert to fraction form
    179,334/377,257.50 = 377,257.50/x
  3. Step 3: Cross multiply
    179,334x = 377,257.50 × 377,257.50
  4. Step 4: Simplify right side
    179,334x = 142,323,221,306.25
  5. Step 5: Solve for x
    x = 142,323,221,306.25/179,334
  6. Step 6: Final answer
    x = 793,620.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.