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Finding the Third Proportional to 94,232 and 199,376

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Solution

The third proportional to 94,232 and 199,376 is: 421,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,232 : 199,376 = 199,376 : x
  2. Step 2: Convert to fraction form
    94,232/199,376 = 199,376/x
  3. Step 3: Cross multiply
    94,232x = 199,376 × 199,376
  4. Step 4: Simplify right side
    94,232x = 39,750,789,376
  5. Step 5: Solve for x
    x = 39,750,789,376/94,232
  6. Step 6: Final answer
    x = 421,839.60

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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.