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Finding the Third Proportional to 109,546 and 236,580

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Solution

The third proportional to 109,546 and 236,580 is: 510,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,546 : 236,580 = 236,580 : x
  2. Step 2: Convert to fraction form
    109,546/236,580 = 236,580/x
  3. Step 3: Cross multiply
    109,546x = 236,580 × 236,580
  4. Step 4: Simplify right side
    109,546x = 55,970,096,400
  5. Step 5: Solve for x
    x = 55,970,096,400/109,546
  6. Step 6: Final answer
    x = 510,927.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.