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Finding the Third Proportional to 130,947 and 200,226

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Solution

The third proportional to 130,947 and 200,226 is: 306,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,947 : 200,226 = 200,226 : x
  2. Step 2: Convert to fraction form
    130,947/200,226 = 200,226/x
  3. Step 3: Cross multiply
    130,947x = 200,226 × 200,226
  4. Step 4: Simplify right side
    130,947x = 40,090,451,076
  5. Step 5: Solve for x
    x = 40,090,451,076/130,947
  6. Step 6: Final answer
    x = 306,157.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.