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Finding the Third Proportional to 156,680 and 341,731

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Solution

The third proportional to 156,680 and 341,731 is: 745,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,680 : 341,731 = 341,731 : x
  2. Step 2: Convert to fraction form
    156,680/341,731 = 341,731/x
  3. Step 3: Cross multiply
    156,680x = 341,731 × 341,731
  4. Step 4: Simplify right side
    156,680x = 116,780,076,361
  5. Step 5: Solve for x
    x = 116,780,076,361/156,680
  6. Step 6: Final answer
    x = 745,341.31

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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.