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Finding the Third Proportional to 156,406.50 and 334,951.50

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Solution

The third proportional to 156,406.50 and 334,951.50 is: 717,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,406.50 : 334,951.50 = 334,951.50 : x
  2. Step 2: Convert to fraction form
    156,406.50/334,951.50 = 334,951.50/x
  3. Step 3: Cross multiply
    156,406.50x = 334,951.50 × 334,951.50
  4. Step 4: Simplify right side
    156,406.50x = 112,192,507,352.25
  5. Step 5: Solve for x
    x = 112,192,507,352.25/156,406.50
  6. Step 6: Final answer
    x = 717,313.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.