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Finding the Third Proportional to 94,522 and 193,364

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Solution

The third proportional to 94,522 and 193,364 is: 395,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,522 : 193,364 = 193,364 : x
  2. Step 2: Convert to fraction form
    94,522/193,364 = 193,364/x
  3. Step 3: Cross multiply
    94,522x = 193,364 × 193,364
  4. Step 4: Simplify right side
    94,522x = 37,389,636,496
  5. Step 5: Solve for x
    x = 37,389,636,496/94,522
  6. Step 6: Final answer
    x = 395,565.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.