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Finding the Third Proportional to 156,657.38 and 228,384.56

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Solution

The third proportional to 156,657.38 and 228,384.56 is: 332,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,657.38 : 228,384.56 = 228,384.56 : x
  2. Step 2: Convert to fraction form
    156,657.38/228,384.56 = 228,384.56/x
  3. Step 3: Cross multiply
    156,657.38x = 228,384.56 × 228,384.56
  4. Step 4: Simplify right side
    156,657.38x = 52,159,508,388.32
  5. Step 5: Solve for x
    x = 52,159,508,388.32/156,657.38
  6. Step 6: Final answer
    x = 332,952.78

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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.