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Finding the Third Proportional to 156,677 and 228,412

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Solution

The third proportional to 156,677 and 228,412 is: 332,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,677 : 228,412 = 228,412 : x
  2. Step 2: Convert to fraction form
    156,677/228,412 = 228,412/x
  3. Step 3: Cross multiply
    156,677x = 228,412 × 228,412
  4. Step 4: Simplify right side
    156,677x = 52,172,041,744
  5. Step 5: Solve for x
    x = 52,172,041,744/156,677
  6. Step 6: Final answer
    x = 332,991.07

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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.