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Finding the Third Proportional to 156,726 and 228,525

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Solution

The third proportional to 156,726 and 228,525 is: 333,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,726 : 228,525 = 228,525 : x
  2. Step 2: Convert to fraction form
    156,726/228,525 = 228,525/x
  3. Step 3: Cross multiply
    156,726x = 228,525 × 228,525
  4. Step 4: Simplify right side
    156,726x = 52,223,675,625
  5. Step 5: Solve for x
    x = 52,223,675,625/156,726
  6. Step 6: Final answer
    x = 333,216.41

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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.