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Finding the Third Proportional to 179,454 and 260,829

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Solution

The third proportional to 179,454 and 260,829 is: 379,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,454 : 260,829 = 260,829 : x
  2. Step 2: Convert to fraction form
    179,454/260,829 = 260,829/x
  3. Step 3: Cross multiply
    179,454x = 260,829 × 260,829
  4. Step 4: Simplify right side
    179,454x = 68,031,767,241
  5. Step 5: Solve for x
    x = 68,031,767,241/179,454
  6. Step 6: Final answer
    x = 379,104.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.