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Finding the Third Proportional to 156,634 and 235,644

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Solution

The third proportional to 156,634 and 235,644 is: 354,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,634 : 235,644 = 235,644 : x
  2. Step 2: Convert to fraction form
    156,634/235,644 = 235,644/x
  3. Step 3: Cross multiply
    156,634x = 235,644 × 235,644
  4. Step 4: Simplify right side
    156,634x = 55,528,094,736
  5. Step 5: Solve for x
    x = 55,528,094,736/156,634
  6. Step 6: Final answer
    x = 354,508.57

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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.