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Finding the Third Proportional to 131,024 and 197,196

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Solution

The third proportional to 131,024 and 197,196 is: 296,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,024 : 197,196 = 197,196 : x
  2. Step 2: Convert to fraction form
    131,024/197,196 = 197,196/x
  3. Step 3: Cross multiply
    131,024x = 197,196 × 197,196
  4. Step 4: Simplify right side
    131,024x = 38,886,262,416
  5. Step 5: Solve for x
    x = 38,886,262,416/131,024
  6. Step 6: Final answer
    x = 296,787.32

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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.