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Finding the Third Proportional to 187,188 and 400,104

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Solution

The third proportional to 187,188 and 400,104 is: 855,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,188 : 400,104 = 400,104 : x
  2. Step 2: Convert to fraction form
    187,188/400,104 = 400,104/x
  3. Step 3: Cross multiply
    187,188x = 400,104 × 400,104
  4. Step 4: Simplify right side
    187,188x = 160,083,210,816
  5. Step 5: Solve for x
    x = 160,083,210,816/187,188
  6. Step 6: Final answer
    x = 855,200.18

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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.