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Finding the Third Proportional to 126,233 and 270,196

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Solution

The third proportional to 126,233 and 270,196 is: 578,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,233 : 270,196 = 270,196 : x
  2. Step 2: Convert to fraction form
    126,233/270,196 = 270,196/x
  3. Step 3: Cross multiply
    126,233x = 270,196 × 270,196
  4. Step 4: Simplify right side
    126,233x = 73,005,878,416
  5. Step 5: Solve for x
    x = 73,005,878,416/126,233
  6. Step 6: Final answer
    x = 578,342.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.