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Finding the Third Proportional to 156,748.50 and 332,127

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Solution

The third proportional to 156,748.50 and 332,127 is: 703,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748.50 : 332,127 = 332,127 : x
  2. Step 2: Convert to fraction form
    156,748.50/332,127 = 332,127/x
  3. Step 3: Cross multiply
    156,748.50x = 332,127 × 332,127
  4. Step 4: Simplify right side
    156,748.50x = 110,308,344,129
  5. Step 5: Solve for x
    x = 110,308,344,129/156,748.50
  6. Step 6: Final answer
    x = 703,728.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.