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Finding the Third Proportional to 156,798 and 228,628

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Solution

The third proportional to 156,798 and 228,628 is: 333,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,798 : 228,628 = 228,628 : x
  2. Step 2: Convert to fraction form
    156,798/228,628 = 228,628/x
  3. Step 3: Cross multiply
    156,798x = 228,628 × 228,628
  4. Step 4: Simplify right side
    156,798x = 52,270,762,384
  5. Step 5: Solve for x
    x = 52,270,762,384/156,798
  6. Step 6: Final answer
    x = 333,363.71

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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.