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Finding the Third Proportional to 156,964 and 239,550

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Solution

The third proportional to 156,964 and 239,550 is: 365,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 239,550 = 239,550 : x
  2. Step 2: Convert to fraction form
    156,964/239,550 = 239,550/x
  3. Step 3: Cross multiply
    156,964x = 239,550 × 239,550
  4. Step 4: Simplify right side
    156,964x = 57,384,202,500
  5. Step 5: Solve for x
    x = 57,384,202,500/156,964
  6. Step 6: Final answer
    x = 365,588.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.