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Finding the Third Proportional to 245,180.25 and 378,853.88

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Solution

The third proportional to 245,180.25 and 378,853.88 is: 585,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,180.25 : 378,853.88 = 378,853.88 : x
  2. Step 2: Convert to fraction form
    245,180.25/378,853.88 = 378,853.88/x
  3. Step 3: Cross multiply
    245,180.25x = 378,853.88 × 378,853.88
  4. Step 4: Simplify right side
    245,180.25x = 143,530,258,602.52
  5. Step 5: Solve for x
    x = 143,530,258,602.52/245,180.25
  6. Step 6: Final answer
    x = 585,407.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.