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Finding the Third Proportional to 131,749 and 197,265

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Solution

The third proportional to 131,749 and 197,265 is: 295,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,749 : 197,265 = 197,265 : x
  2. Step 2: Convert to fraction form
    131,749/197,265 = 197,265/x
  3. Step 3: Cross multiply
    131,749x = 197,265 × 197,265
  4. Step 4: Simplify right side
    131,749x = 38,913,480,225
  5. Step 5: Solve for x
    x = 38,913,480,225/131,749
  6. Step 6: Final answer
    x = 295,360.73

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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.