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Finding the Third Proportional to 195,331 and 414,643

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Solution

The third proportional to 195,331 and 414,643 is: 880,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,331 : 414,643 = 414,643 : x
  2. Step 2: Convert to fraction form
    195,331/414,643 = 414,643/x
  3. Step 3: Cross multiply
    195,331x = 414,643 × 414,643
  4. Step 4: Simplify right side
    195,331x = 171,928,817,449
  5. Step 5: Solve for x
    x = 171,928,817,449/195,331
  6. Step 6: Final answer
    x = 880,192.17

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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.