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Finding the Third Proportional to 126,253 and 270,239

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Solution

The third proportional to 126,253 and 270,239 is: 578,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,253 : 270,239 = 270,239 : x
  2. Step 2: Convert to fraction form
    126,253/270,239 = 270,239/x
  3. Step 3: Cross multiply
    126,253x = 270,239 × 270,239
  4. Step 4: Simplify right side
    126,253x = 73,029,117,121
  5. Step 5: Solve for x
    x = 73,029,117,121/126,253
  6. Step 6: Final answer
    x = 578,434.71

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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.