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Finding the Third Proportional to 245,214 and 374,949

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Solution

The third proportional to 245,214 and 374,949 is: 573,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,214 : 374,949 = 374,949 : x
  2. Step 2: Convert to fraction form
    245,214/374,949 = 374,949/x
  3. Step 3: Cross multiply
    245,214x = 374,949 × 374,949
  4. Step 4: Simplify right side
    245,214x = 140,586,752,601
  5. Step 5: Solve for x
    x = 140,586,752,601/245,214
  6. Step 6: Final answer
    x = 573,322.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.