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Finding the Third Proportional to 156,022 and 228,478

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Solution

The third proportional to 156,022 and 228,478 is: 334,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,022 : 228,478 = 228,478 : x
  2. Step 2: Convert to fraction form
    156,022/228,478 = 228,478/x
  3. Step 3: Cross multiply
    156,022x = 228,478 × 228,478
  4. Step 4: Simplify right side
    156,022x = 52,202,196,484
  5. Step 5: Solve for x
    x = 52,202,196,484/156,022
  6. Step 6: Final answer
    x = 334,582.28

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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.