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Finding the Third Proportional to 150,145 and 329,820.50

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Solution

The third proportional to 150,145 and 329,820.50 is: 724,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,145 : 329,820.50 = 329,820.50 : x
  2. Step 2: Convert to fraction form
    150,145/329,820.50 = 329,820.50/x
  3. Step 3: Cross multiply
    150,145x = 329,820.50 × 329,820.50
  4. Step 4: Simplify right side
    150,145x = 108,781,562,220.25
  5. Step 5: Solve for x
    x = 108,781,562,220.25/150,145
  6. Step 6: Final answer
    x = 724,510.06

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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.