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Finding the Third Proportional to 126,684 and 270,316

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Solution

The third proportional to 126,684 and 270,316 is: 576,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,684 : 270,316 = 270,316 : x
  2. Step 2: Convert to fraction form
    126,684/270,316 = 270,316/x
  3. Step 3: Cross multiply
    126,684x = 270,316 × 270,316
  4. Step 4: Simplify right side
    126,684x = 73,070,739,856
  5. Step 5: Solve for x
    x = 73,070,739,856/126,684
  6. Step 6: Final answer
    x = 576,795.33

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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.