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Finding the Third Proportional to 234,322 and 354,770

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Solution

The third proportional to 234,322 and 354,770 is: 537,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,322 : 354,770 = 354,770 : x
  2. Step 2: Convert to fraction form
    234,322/354,770 = 354,770/x
  3. Step 3: Cross multiply
    234,322x = 354,770 × 354,770
  4. Step 4: Simplify right side
    234,322x = 125,861,752,900
  5. Step 5: Solve for x
    x = 125,861,752,900/234,322
  6. Step 6: Final answer
    x = 537,131.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.