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Finding the Third Proportional to 156,743.25 and 228,553.50

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Solution

The third proportional to 156,743.25 and 228,553.50 is: 333,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,743.25 : 228,553.50 = 228,553.50 : x
  2. Step 2: Convert to fraction form
    156,743.25/228,553.50 = 228,553.50/x
  3. Step 3: Cross multiply
    156,743.25x = 228,553.50 × 228,553.50
  4. Step 4: Simplify right side
    156,743.25x = 52,236,702,362.25
  5. Step 5: Solve for x
    x = 52,236,702,362.25/156,743.25
  6. Step 6: Final answer
    x = 333,262.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.