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Finding the Third Proportional to 156,664 and 228,294

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Solution

The third proportional to 156,664 and 228,294 is: 332,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,664 : 228,294 = 228,294 : x
  2. Step 2: Convert to fraction form
    156,664/228,294 = 228,294/x
  3. Step 3: Cross multiply
    156,664x = 228,294 × 228,294
  4. Step 4: Simplify right side
    156,664x = 52,118,150,436
  5. Step 5: Solve for x
    x = 52,118,150,436/156,664
  6. Step 6: Final answer
    x = 332,674.71

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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.