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Finding the Third Proportional to 129,896 and 200,316

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Solution

The third proportional to 129,896 and 200,316 is: 308,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896 : 200,316 = 200,316 : x
  2. Step 2: Convert to fraction form
    129,896/200,316 = 200,316/x
  3. Step 3: Cross multiply
    129,896x = 200,316 × 200,316
  4. Step 4: Simplify right side
    129,896x = 40,126,499,856
  5. Step 5: Solve for x
    x = 40,126,499,856/129,896
  6. Step 6: Final answer
    x = 308,912.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.