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Finding the Third Proportional to 199,918 and 425,726

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Solution

The third proportional to 199,918 and 425,726 is: 906,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,918 : 425,726 = 425,726 : x
  2. Step 2: Convert to fraction form
    199,918/425,726 = 425,726/x
  3. Step 3: Cross multiply
    199,918x = 425,726 × 425,726
  4. Step 4: Simplify right side
    199,918x = 181,242,627,076
  5. Step 5: Solve for x
    x = 181,242,627,076/199,918
  6. Step 6: Final answer
    x = 906,584.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.