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Finding the Third Proportional to 131,005 and 197,594

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Solution

The third proportional to 131,005 and 197,594 is: 298,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,005 : 197,594 = 197,594 : x
  2. Step 2: Convert to fraction form
    131,005/197,594 = 197,594/x
  3. Step 3: Cross multiply
    131,005x = 197,594 × 197,594
  4. Step 4: Simplify right side
    131,005x = 39,043,388,836
  5. Step 5: Solve for x
    x = 39,043,388,836/131,005
  6. Step 6: Final answer
    x = 298,029.76

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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.