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Finding the Third Proportional to 156,675 and 234,423

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Solution

The third proportional to 156,675 and 234,423 is: 350,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,675 : 234,423 = 234,423 : x
  2. Step 2: Convert to fraction form
    156,675/234,423 = 234,423/x
  3. Step 3: Cross multiply
    156,675x = 234,423 × 234,423
  4. Step 4: Simplify right side
    156,675x = 54,954,142,929
  5. Step 5: Solve for x
    x = 54,954,142,929/156,675
  6. Step 6: Final answer
    x = 350,752.47

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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.