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Finding the Third Proportional to 94,338 and 206,172

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Solution

The third proportional to 94,338 and 206,172 is: 450,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,338 : 206,172 = 206,172 : x
  2. Step 2: Convert to fraction form
    94,338/206,172 = 206,172/x
  3. Step 3: Cross multiply
    94,338x = 206,172 × 206,172
  4. Step 4: Simplify right side
    94,338x = 42,506,893,584
  5. Step 5: Solve for x
    x = 42,506,893,584/94,338
  6. Step 6: Final answer
    x = 450,580.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.