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Finding the Third Proportional to 193,376 and 409,952

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Solution

The third proportional to 193,376 and 409,952 is: 869,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,376 : 409,952 = 409,952 : x
  2. Step 2: Convert to fraction form
    193,376/409,952 = 409,952/x
  3. Step 3: Cross multiply
    193,376x = 409,952 × 409,952
  4. Step 4: Simplify right side
    193,376x = 168,060,642,304
  5. Step 5: Solve for x
    x = 168,060,642,304/193,376
  6. Step 6: Final answer
    x = 869,087.39

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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.