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Finding the Third Proportional to 156,378.75 and 334,901.25

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Solution

The third proportional to 156,378.75 and 334,901.25 is: 717,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,378.75 : 334,901.25 = 334,901.25 : x
  2. Step 2: Convert to fraction form
    156,378.75/334,901.25 = 334,901.25/x
  3. Step 3: Cross multiply
    156,378.75x = 334,901.25 × 334,901.25
  4. Step 4: Simplify right side
    156,378.75x = 112,158,847,251.56
  5. Step 5: Solve for x
    x = 112,158,847,251.56/156,378.75
  6. Step 6: Final answer
    x = 717,225.63

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Why These Related Problems?

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