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Finding the Third Proportional to 156,534.50 and 236,254

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Solution

The third proportional to 156,534.50 and 236,254 is: 356,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,534.50 : 236,254 = 236,254 : x
  2. Step 2: Convert to fraction form
    156,534.50/236,254 = 236,254/x
  3. Step 3: Cross multiply
    156,534.50x = 236,254 × 236,254
  4. Step 4: Simplify right side
    156,534.50x = 55,815,952,516
  5. Step 5: Solve for x
    x = 55,815,952,516/156,534.50
  6. Step 6: Final answer
    x = 356,572.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.