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Finding the Third Proportional to 156,912 and 232,320

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Solution

The third proportional to 156,912 and 232,320 is: 343,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912 : 232,320 = 232,320 : x
  2. Step 2: Convert to fraction form
    156,912/232,320 = 232,320/x
  3. Step 3: Cross multiply
    156,912x = 232,320 × 232,320
  4. Step 4: Simplify right side
    156,912x = 53,972,582,400
  5. Step 5: Solve for x
    x = 53,972,582,400/156,912
  6. Step 6: Final answer
    x = 343,967.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.