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Finding the Third Proportional to 136,168 and 294,200

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Solution

The third proportional to 136,168 and 294,200 is: 635,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,168 : 294,200 = 294,200 : x
  2. Step 2: Convert to fraction form
    136,168/294,200 = 294,200/x
  3. Step 3: Cross multiply
    136,168x = 294,200 × 294,200
  4. Step 4: Simplify right side
    136,168x = 86,553,640,000
  5. Step 5: Solve for x
    x = 86,553,640,000/136,168
  6. Step 6: Final answer
    x = 635,638.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.