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Finding the Third Proportional to 128,632 and 197,834

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Solution

The third proportional to 128,632 and 197,834 is: 304,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,632 : 197,834 = 197,834 : x
  2. Step 2: Convert to fraction form
    128,632/197,834 = 197,834/x
  3. Step 3: Cross multiply
    128,632x = 197,834 × 197,834
  4. Step 4: Simplify right side
    128,632x = 39,138,291,556
  5. Step 5: Solve for x
    x = 39,138,291,556/128,632
  6. Step 6: Final answer
    x = 304,265.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.