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Finding the Third Proportional to 92,338 and 198,468

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Solution

The third proportional to 92,338 and 198,468 is: 426,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,338 : 198,468 = 198,468 : x
  2. Step 2: Convert to fraction form
    92,338/198,468 = 198,468/x
  3. Step 3: Cross multiply
    92,338x = 198,468 × 198,468
  4. Step 4: Simplify right side
    92,338x = 39,389,547,024
  5. Step 5: Solve for x
    x = 39,389,547,024/92,338
  6. Step 6: Final answer
    x = 426,580.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.