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Finding the Third Proportional to 156,918 and 232,328

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Solution

The third proportional to 156,918 and 232,328 is: 343,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918 : 232,328 = 232,328 : x
  2. Step 2: Convert to fraction form
    156,918/232,328 = 232,328/x
  3. Step 3: Cross multiply
    156,918x = 232,328 × 232,328
  4. Step 4: Simplify right side
    156,918x = 53,976,299,584
  5. Step 5: Solve for x
    x = 53,976,299,584/156,918
  6. Step 6: Final answer
    x = 343,977.74

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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.