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Finding the Third Proportional to 197,136 and 301,617

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Solution

The third proportional to 197,136 and 301,617 is: 461,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,136 : 301,617 = 301,617 : x
  2. Step 2: Convert to fraction form
    197,136/301,617 = 301,617/x
  3. Step 3: Cross multiply
    197,136x = 301,617 × 301,617
  4. Step 4: Simplify right side
    197,136x = 90,972,814,689
  5. Step 5: Solve for x
    x = 90,972,814,689/197,136
  6. Step 6: Final answer
    x = 461,472.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.