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Finding the Third Proportional to 174,862.13 and 256,552.31

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Solution

The third proportional to 174,862.13 and 256,552.31 is: 376,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,862.13 : 256,552.31 = 256,552.31 : x
  2. Step 2: Convert to fraction form
    174,862.13/256,552.31 = 256,552.31/x
  3. Step 3: Cross multiply
    174,862.13x = 256,552.31 × 256,552.31
  4. Step 4: Simplify right side
    174,862.13x = 65,819,089,049.10
  5. Step 5: Solve for x
    x = 65,819,089,049.10/174,862.13
  6. Step 6: Final answer
    x = 376,405.63

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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.