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Finding the Third Proportional to 200,755.13 and 298,652.06

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Solution

The third proportional to 200,755.13 and 298,652.06 is: 444,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.13 : 298,652.06 = 298,652.06 : x
  2. Step 2: Convert to fraction form
    200,755.13/298,652.06 = 298,652.06/x
  3. Step 3: Cross multiply
    200,755.13x = 298,652.06 × 298,652.06
  4. Step 4: Simplify right side
    200,755.13x = 89,193,054,435.50
  5. Step 5: Solve for x
    x = 89,193,054,435.50/200,755.13
  6. Step 6: Final answer
    x = 444,287.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.