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Finding the Third Proportional to 179,136 and 391,020

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Solution

The third proportional to 179,136 and 391,020 is: 853,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,136 : 391,020 = 391,020 : x
  2. Step 2: Convert to fraction form
    179,136/391,020 = 391,020/x
  3. Step 3: Cross multiply
    179,136x = 391,020 × 391,020
  4. Step 4: Simplify right side
    179,136x = 152,896,640,400
  5. Step 5: Solve for x
    x = 152,896,640,400/179,136
  6. Step 6: Final answer
    x = 853,522.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.