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Finding the Third Proportional to 136,192 and 298,880

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Solution

The third proportional to 136,192 and 298,880 is: 655,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,192 : 298,880 = 298,880 : x
  2. Step 2: Convert to fraction form
    136,192/298,880 = 298,880/x
  3. Step 3: Cross multiply
    136,192x = 298,880 × 298,880
  4. Step 4: Simplify right side
    136,192x = 89,329,254,400
  5. Step 5: Solve for x
    x = 89,329,254,400/136,192
  6. Step 6: Final answer
    x = 655,906.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.