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Finding the Third Proportional to 137,569 and 197,596

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Solution

The third proportional to 137,569 and 197,596 is: 283,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569 : 197,596 = 197,596 : x
  2. Step 2: Convert to fraction form
    137,569/197,596 = 197,596/x
  3. Step 3: Cross multiply
    137,569x = 197,596 × 197,596
  4. Step 4: Simplify right side
    137,569x = 39,044,179,216
  5. Step 5: Solve for x
    x = 39,044,179,216/137,569
  6. Step 6: Final answer
    x = 283,815.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.