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Finding the Third Proportional to 156,632 and 341,492

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Solution

The third proportional to 156,632 and 341,492 is: 744,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,632 : 341,492 = 341,492 : x
  2. Step 2: Convert to fraction form
    156,632/341,492 = 341,492/x
  3. Step 3: Cross multiply
    156,632x = 341,492 × 341,492
  4. Step 4: Simplify right side
    156,632x = 116,616,786,064
  5. Step 5: Solve for x
    x = 116,616,786,064/156,632
  6. Step 6: Final answer
    x = 744,527.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.