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Finding the Third Proportional to 195,364 and 414,708

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Solution

The third proportional to 195,364 and 414,708 is: 880,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,364 : 414,708 = 414,708 : x
  2. Step 2: Convert to fraction form
    195,364/414,708 = 414,708/x
  3. Step 3: Cross multiply
    195,364x = 414,708 × 414,708
  4. Step 4: Simplify right side
    195,364x = 171,982,725,264
  5. Step 5: Solve for x
    x = 171,982,725,264/195,364
  6. Step 6: Final answer
    x = 880,319.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.