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Finding the Third Proportional to 131,774 and 197,300

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Solution

The third proportional to 131,774 and 197,300 is: 295,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,774 : 197,300 = 197,300 : x
  2. Step 2: Convert to fraction form
    131,774/197,300 = 197,300/x
  3. Step 3: Cross multiply
    131,774x = 197,300 × 197,300
  4. Step 4: Simplify right side
    131,774x = 38,927,290,000
  5. Step 5: Solve for x
    x = 38,927,290,000/131,774
  6. Step 6: Final answer
    x = 295,409.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.