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Finding the Third Proportional to 156,222 and 332,073

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Solution

The third proportional to 156,222 and 332,073 is: 705,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,222 : 332,073 = 332,073 : x
  2. Step 2: Convert to fraction form
    156,222/332,073 = 332,073/x
  3. Step 3: Cross multiply
    156,222x = 332,073 × 332,073
  4. Step 4: Simplify right side
    156,222x = 110,272,477,329
  5. Step 5: Solve for x
    x = 110,272,477,329/156,222
  6. Step 6: Final answer
    x = 705,870.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.