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Finding the Third Proportional to 156,646.50 and 228,273

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Solution

The third proportional to 156,646.50 and 228,273 is: 332,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,646.50 : 228,273 = 228,273 : x
  2. Step 2: Convert to fraction form
    156,646.50/228,273 = 228,273/x
  3. Step 3: Cross multiply
    156,646.50x = 228,273 × 228,273
  4. Step 4: Simplify right side
    156,646.50x = 52,108,562,529
  5. Step 5: Solve for x
    x = 52,108,562,529/156,646.50
  6. Step 6: Final answer
    x = 332,650.67

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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.