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Finding the Third Proportional to 103,808 and 234,580

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Solution

The third proportional to 103,808 and 234,580 is: 530,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,808 : 234,580 = 234,580 : x
  2. Step 2: Convert to fraction form
    103,808/234,580 = 234,580/x
  3. Step 3: Cross multiply
    103,808x = 234,580 × 234,580
  4. Step 4: Simplify right side
    103,808x = 55,027,776,400
  5. Step 5: Solve for x
    x = 55,027,776,400/103,808
  6. Step 6: Final answer
    x = 530,091.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.