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Finding the Third Proportional to 91,504 and 198,281

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Solution

The third proportional to 91,504 and 198,281 is: 429,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,504 : 198,281 = 198,281 : x
  2. Step 2: Convert to fraction form
    91,504/198,281 = 198,281/x
  3. Step 3: Cross multiply
    91,504x = 198,281 × 198,281
  4. Step 4: Simplify right side
    91,504x = 39,315,354,961
  5. Step 5: Solve for x
    x = 39,315,354,961/91,504
  6. Step 6: Final answer
    x = 429,657.23

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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.