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Finding the Third Proportional to 230,264 and 355,240

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Solution

The third proportional to 230,264 and 355,240 is: 548,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,264 : 355,240 = 355,240 : x
  2. Step 2: Convert to fraction form
    230,264/355,240 = 355,240/x
  3. Step 3: Cross multiply
    230,264x = 355,240 × 355,240
  4. Step 4: Simplify right side
    230,264x = 126,195,457,600
  5. Step 5: Solve for x
    x = 126,195,457,600/230,264
  6. Step 6: Final answer
    x = 548,046.84

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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.