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Finding the Third Proportional to 193,110 and 403,877

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Solution

The third proportional to 193,110 and 403,877 is: 844,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,110 : 403,877 = 403,877 : x
  2. Step 2: Convert to fraction form
    193,110/403,877 = 403,877/x
  3. Step 3: Cross multiply
    193,110x = 403,877 × 403,877
  4. Step 4: Simplify right side
    193,110x = 163,116,631,129
  5. Step 5: Solve for x
    x = 163,116,631,129/193,110
  6. Step 6: Final answer
    x = 844,682.47

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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.