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Finding the Third Proportional to 156,663 and 228,293

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Solution

The third proportional to 156,663 and 228,293 is: 332,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,663 : 228,293 = 228,293 : x
  2. Step 2: Convert to fraction form
    156,663/228,293 = 228,293/x
  3. Step 3: Cross multiply
    156,663x = 228,293 × 228,293
  4. Step 4: Simplify right side
    156,663x = 52,117,693,849
  5. Step 5: Solve for x
    x = 52,117,693,849/156,663
  6. Step 6: Final answer
    x = 332,673.92

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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.