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Finding the Third Proportional to 187,356 and 400,944

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Solution

The third proportional to 187,356 and 400,944 is: 858,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,356 : 400,944 = 400,944 : x
  2. Step 2: Convert to fraction form
    187,356/400,944 = 400,944/x
  3. Step 3: Cross multiply
    187,356x = 400,944 × 400,944
  4. Step 4: Simplify right side
    187,356x = 160,756,091,136
  5. Step 5: Solve for x
    x = 160,756,091,136/187,356
  6. Step 6: Final answer
    x = 858,024.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.