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Finding the Third Proportional to 245,180.25 and 374,901.75

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Solution

The third proportional to 245,180.25 and 374,901.75 is: 573,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,180.25 : 374,901.75 = 374,901.75 : x
  2. Step 2: Convert to fraction form
    245,180.25/374,901.75 = 374,901.75/x
  3. Step 3: Cross multiply
    245,180.25x = 374,901.75 × 374,901.75
  4. Step 4: Simplify right side
    245,180.25x = 140,551,322,153.06
  5. Step 5: Solve for x
    x = 140,551,322,153.06/245,180.25
  6. Step 6: Final answer
    x = 573,257.11

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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.