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Finding the Third Proportional to 187,048 and 400,888

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Solution

The third proportional to 187,048 and 400,888 is: 859,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,048 : 400,888 = 400,888 : x
  2. Step 2: Convert to fraction form
    187,048/400,888 = 400,888/x
  3. Step 3: Cross multiply
    187,048x = 400,888 × 400,888
  4. Step 4: Simplify right side
    187,048x = 160,711,188,544
  5. Step 5: Solve for x
    x = 160,711,188,544/187,048
  6. Step 6: Final answer
    x = 859,197.58

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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.