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Finding the Third Proportional to 156,742 and 235,491

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Solution

The third proportional to 156,742 and 235,491 is: 353,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 235,491 = 235,491 : x
  2. Step 2: Convert to fraction form
    156,742/235,491 = 235,491/x
  3. Step 3: Cross multiply
    156,742x = 235,491 × 235,491
  4. Step 4: Simplify right side
    156,742x = 55,456,011,081
  5. Step 5: Solve for x
    x = 55,456,011,081/156,742
  6. Step 6: Final answer
    x = 353,804.41

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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.