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Finding the Third Proportional to 136,362 and 298,244

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Solution

The third proportional to 136,362 and 298,244 is: 652,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,362 : 298,244 = 298,244 : x
  2. Step 2: Convert to fraction form
    136,362/298,244 = 298,244/x
  3. Step 3: Cross multiply
    136,362x = 298,244 × 298,244
  4. Step 4: Simplify right side
    136,362x = 88,949,483,536
  5. Step 5: Solve for x
    x = 88,949,483,536/136,362
  6. Step 6: Final answer
    x = 652,304.04

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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.