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Finding the Third Proportional to 156,662 and 228,291

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Solution

The third proportional to 156,662 and 228,291 is: 332,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,662 : 228,291 = 228,291 : x
  2. Step 2: Convert to fraction form
    156,662/228,291 = 228,291/x
  3. Step 3: Cross multiply
    156,662x = 228,291 × 228,291
  4. Step 4: Simplify right side
    156,662x = 52,116,780,681
  5. Step 5: Solve for x
    x = 52,116,780,681/156,662
  6. Step 6: Final answer
    x = 332,670.21

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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.