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Finding the Third Proportional to 192,536 and 297,548

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Solution

The third proportional to 192,536 and 297,548 is: 459,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,536 : 297,548 = 297,548 : x
  2. Step 2: Convert to fraction form
    192,536/297,548 = 297,548/x
  3. Step 3: Cross multiply
    192,536x = 297,548 × 297,548
  4. Step 4: Simplify right side
    192,536x = 88,534,812,304
  5. Step 5: Solve for x
    x = 88,534,812,304/192,536
  6. Step 6: Final answer
    x = 459,835.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.