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Finding the Third Proportional to 168,557 and 371,013

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Solution

The third proportional to 168,557 and 371,013 is: 816,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,557 : 371,013 = 371,013 : x
  2. Step 2: Convert to fraction form
    168,557/371,013 = 371,013/x
  3. Step 3: Cross multiply
    168,557x = 371,013 × 371,013
  4. Step 4: Simplify right side
    168,557x = 137,650,646,169
  5. Step 5: Solve for x
    x = 137,650,646,169/168,557
  6. Step 6: Final answer
    x = 816,641.53

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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.