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Finding the Third Proportional to 193,102 and 403,858

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Solution

The third proportional to 193,102 and 403,858 is: 844,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,102 : 403,858 = 403,858 : x
  2. Step 2: Convert to fraction form
    193,102/403,858 = 403,858/x
  3. Step 3: Cross multiply
    193,102x = 403,858 × 403,858
  4. Step 4: Simplify right side
    193,102x = 163,101,284,164
  5. Step 5: Solve for x
    x = 163,101,284,164/193,102
  6. Step 6: Final answer
    x = 844,637.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.