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Finding the Third Proportional to 156,636 and 234,270

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Solution

The third proportional to 156,636 and 234,270 is: 350,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,636 : 234,270 = 234,270 : x
  2. Step 2: Convert to fraction form
    156,636/234,270 = 234,270/x
  3. Step 3: Cross multiply
    156,636x = 234,270 × 234,270
  4. Step 4: Simplify right side
    156,636x = 54,882,432,900
  5. Step 5: Solve for x
    x = 54,882,432,900/156,636
  6. Step 6: Final answer
    x = 350,381.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.