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Finding the Third Proportional to 232,366 and 355,228

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Solution

The third proportional to 232,366 and 355,228 is: 543,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,366 : 355,228 = 355,228 : x
  2. Step 2: Convert to fraction form
    232,366/355,228 = 355,228/x
  3. Step 3: Cross multiply
    232,366x = 355,228 × 355,228
  4. Step 4: Simplify right side
    232,366x = 126,186,931,984
  5. Step 5: Solve for x
    x = 126,186,931,984/232,366
  6. Step 6: Final answer
    x = 543,052.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.