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Finding the Third Proportional to 92,290 and 205,348

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Solution

The third proportional to 92,290 and 205,348 is: 456,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,290 : 205,348 = 205,348 : x
  2. Step 2: Convert to fraction form
    92,290/205,348 = 205,348/x
  3. Step 3: Cross multiply
    92,290x = 205,348 × 205,348
  4. Step 4: Simplify right side
    92,290x = 42,167,801,104
  5. Step 5: Solve for x
    x = 42,167,801,104/92,290
  6. Step 6: Final answer
    x = 456,905.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.