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Finding the Third Proportional to 156,940 and 232,358

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Solution

The third proportional to 156,940 and 232,358 is: 344,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,940 : 232,358 = 232,358 : x
  2. Step 2: Convert to fraction form
    156,940/232,358 = 232,358/x
  3. Step 3: Cross multiply
    156,940x = 232,358 × 232,358
  4. Step 4: Simplify right side
    156,940x = 53,990,240,164
  5. Step 5: Solve for x
    x = 53,990,240,164/156,940
  6. Step 6: Final answer
    x = 344,018.35

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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.