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Finding the Third Proportional to 156,784 and 236,645

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Solution

The third proportional to 156,784 and 236,645 is: 357,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 236,645 = 236,645 : x
  2. Step 2: Convert to fraction form
    156,784/236,645 = 236,645/x
  3. Step 3: Cross multiply
    156,784x = 236,645 × 236,645
  4. Step 4: Simplify right side
    156,784x = 56,000,856,025
  5. Step 5: Solve for x
    x = 56,000,856,025/156,784
  6. Step 6: Final answer
    x = 357,184.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.