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Finding the Third Proportional to 193,326 and 425,910

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Solution

The third proportional to 193,326 and 425,910 is: 938,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,326 : 425,910 = 425,910 : x
  2. Step 2: Convert to fraction form
    193,326/425,910 = 425,910/x
  3. Step 3: Cross multiply
    193,326x = 425,910 × 425,910
  4. Step 4: Simplify right side
    193,326x = 181,399,328,100
  5. Step 5: Solve for x
    x = 181,399,328,100/193,326
  6. Step 6: Final answer
    x = 938,307.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.