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Finding the Third Proportional to 149,580 and 329,520

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Solution

The third proportional to 149,580 and 329,520 is: 725,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,580 : 329,520 = 329,520 : x
  2. Step 2: Convert to fraction form
    149,580/329,520 = 329,520/x
  3. Step 3: Cross multiply
    149,580x = 329,520 × 329,520
  4. Step 4: Simplify right side
    149,580x = 108,583,430,400
  5. Step 5: Solve for x
    x = 108,583,430,400/149,580
  6. Step 6: Final answer
    x = 725,922.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.