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Finding the Third Proportional to 178,356.38 and 371,475

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Solution

The third proportional to 178,356.38 and 371,475 is: 773,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,356.38 : 371,475 = 371,475 : x
  2. Step 2: Convert to fraction form
    178,356.38/371,475 = 371,475/x
  3. Step 3: Cross multiply
    178,356.38x = 371,475 × 371,475
  4. Step 4: Simplify right side
    178,356.38x = 137,993,675,625
  5. Step 5: Solve for x
    x = 137,993,675,625/178,356.38
  6. Step 6: Final answer
    x = 773,696.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.