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Finding the Third Proportional to 156,019.50 and 342,549

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Solution

The third proportional to 156,019.50 and 342,549 is: 752,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,019.50 : 342,549 = 342,549 : x
  2. Step 2: Convert to fraction form
    156,019.50/342,549 = 342,549/x
  3. Step 3: Cross multiply
    156,019.50x = 342,549 × 342,549
  4. Step 4: Simplify right side
    156,019.50x = 117,339,817,401
  5. Step 5: Solve for x
    x = 117,339,817,401/156,019.50
  6. Step 6: Final answer
    x = 752,084.31

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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.