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Finding the Third Proportional to 197,721 and 299,355.75

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Solution

The third proportional to 197,721 and 299,355.75 is: 453,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,721 : 299,355.75 = 299,355.75 : x
  2. Step 2: Convert to fraction form
    197,721/299,355.75 = 299,355.75/x
  3. Step 3: Cross multiply
    197,721x = 299,355.75 × 299,355.75
  4. Step 4: Simplify right side
    197,721x = 89,613,865,058.06
  5. Step 5: Solve for x
    x = 89,613,865,058.06/197,721
  6. Step 6: Final answer
    x = 453,233.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.