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Finding the Third Proportional to 156,639 and 235,650

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Solution

The third proportional to 156,639 and 235,650 is: 354,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,639 : 235,650 = 235,650 : x
  2. Step 2: Convert to fraction form
    156,639/235,650 = 235,650/x
  3. Step 3: Cross multiply
    156,639x = 235,650 × 235,650
  4. Step 4: Simplify right side
    156,639x = 55,530,922,500
  5. Step 5: Solve for x
    x = 55,530,922,500/156,639
  6. Step 6: Final answer
    x = 354,515.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.