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Finding the Third Proportional to 135,910 and 289,316

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Solution

The third proportional to 135,910 and 289,316 is: 615,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,910 : 289,316 = 289,316 : x
  2. Step 2: Convert to fraction form
    135,910/289,316 = 289,316/x
  3. Step 3: Cross multiply
    135,910x = 289,316 × 289,316
  4. Step 4: Simplify right side
    135,910x = 83,703,747,856
  5. Step 5: Solve for x
    x = 83,703,747,856/135,910
  6. Step 6: Final answer
    x = 615,876.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.