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Finding the Third Proportional to 109,793 and 240,970

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Solution

The third proportional to 109,793 and 240,970 is: 528,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,793 : 240,970 = 240,970 : x
  2. Step 2: Convert to fraction form
    109,793/240,970 = 240,970/x
  3. Step 3: Cross multiply
    109,793x = 240,970 × 240,970
  4. Step 4: Simplify right side
    109,793x = 58,066,540,900
  5. Step 5: Solve for x
    x = 58,066,540,900/109,793
  6. Step 6: Final answer
    x = 528,872.89

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