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Finding the Third Proportional to 156,210.75 and 343,140.75

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Solution

The third proportional to 156,210.75 and 343,140.75 is: 753,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,210.75 : 343,140.75 = 343,140.75 : x
  2. Step 2: Convert to fraction form
    156,210.75/343,140.75 = 343,140.75/x
  3. Step 3: Cross multiply
    156,210.75x = 343,140.75 × 343,140.75
  4. Step 4: Simplify right side
    156,210.75x = 117,745,574,310.56
  5. Step 5: Solve for x
    x = 117,745,574,310.56/156,210.75
  6. Step 6: Final answer
    x = 753,761.02

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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.