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Finding the Third Proportional to 195,936 and 424,464

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Solution

The third proportional to 195,936 and 424,464 is: 919,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,936 : 424,464 = 424,464 : x
  2. Step 2: Convert to fraction form
    195,936/424,464 = 424,464/x
  3. Step 3: Cross multiply
    195,936x = 424,464 × 424,464
  4. Step 4: Simplify right side
    195,936x = 180,169,687,296
  5. Step 5: Solve for x
    x = 180,169,687,296/195,936
  6. Step 6: Final answer
    x = 919,533.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.