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Finding the Third Proportional to 161,249 and 376,542

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Solution

The third proportional to 161,249 and 376,542 is: 879,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,249 : 376,542 = 376,542 : x
  2. Step 2: Convert to fraction form
    161,249/376,542 = 376,542/x
  3. Step 3: Cross multiply
    161,249x = 376,542 × 376,542
  4. Step 4: Simplify right side
    161,249x = 141,783,877,764
  5. Step 5: Solve for x
    x = 141,783,877,764/161,249
  6. Step 6: Final answer
    x = 879,285.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.