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Finding the Third Proportional to 136,084 and 298,736

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Solution

The third proportional to 136,084 and 298,736 is: 655,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,084 : 298,736 = 298,736 : x
  2. Step 2: Convert to fraction form
    136,084/298,736 = 298,736/x
  3. Step 3: Cross multiply
    136,084x = 298,736 × 298,736
  4. Step 4: Simplify right side
    136,084x = 89,243,197,696
  5. Step 5: Solve for x
    x = 89,243,197,696/136,084
  6. Step 6: Final answer
    x = 655,794.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.