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Finding the Third Proportional to 254,098.97 and 374,122.13

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Solution

The third proportional to 254,098.97 and 374,122.13 is: 550,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,098.97 : 374,122.13 = 374,122.13 : x
  2. Step 2: Convert to fraction form
    254,098.97/374,122.13 = 374,122.13/x
  3. Step 3: Cross multiply
    254,098.97x = 374,122.13 × 374,122.13
  4. Step 4: Simplify right side
    254,098.97x = 139,967,364,414.52
  5. Step 5: Solve for x
    x = 139,967,364,414.52/254,098.97
  6. Step 6: Final answer
    x = 550,837.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.