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Finding the Third Proportional to 187,519 and 404,358

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Solution

The third proportional to 187,519 and 404,358 is: 871,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,519 : 404,358 = 404,358 : x
  2. Step 2: Convert to fraction form
    187,519/404,358 = 404,358/x
  3. Step 3: Cross multiply
    187,519x = 404,358 × 404,358
  4. Step 4: Simplify right side
    187,519x = 163,505,392,164
  5. Step 5: Solve for x
    x = 163,505,392,164/187,519
  6. Step 6: Final answer
    x = 871,940.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.