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Finding the Third Proportional to 156,834 and 237,195

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Solution

The third proportional to 156,834 and 237,195 is: 358,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,834 : 237,195 = 237,195 : x
  2. Step 2: Convert to fraction form
    156,834/237,195 = 237,195/x
  3. Step 3: Cross multiply
    156,834x = 237,195 × 237,195
  4. Step 4: Simplify right side
    156,834x = 56,261,468,025
  5. Step 5: Solve for x
    x = 56,261,468,025/156,834
  6. Step 6: Final answer
    x = 358,732.60

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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.