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Finding the Third Proportional to 136,896 and 200,600

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Solution

The third proportional to 136,896 and 200,600 is: 293,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,896 : 200,600 = 200,600 : x
  2. Step 2: Convert to fraction form
    136,896/200,600 = 200,600/x
  3. Step 3: Cross multiply
    136,896x = 200,600 × 200,600
  4. Step 4: Simplify right side
    136,896x = 40,240,360,000
  5. Step 5: Solve for x
    x = 40,240,360,000/136,896
  6. Step 6: Final answer
    x = 293,948.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.