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Finding the Third Proportional to 254,137.50 and 372,716

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Solution

The third proportional to 254,137.50 and 372,716 is: 546,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,137.50 : 372,716 = 372,716 : x
  2. Step 2: Convert to fraction form
    254,137.50/372,716 = 372,716/x
  3. Step 3: Cross multiply
    254,137.50x = 372,716 × 372,716
  4. Step 4: Simplify right side
    254,137.50x = 138,917,216,656
  5. Step 5: Solve for x
    x = 138,917,216,656/254,137.50
  6. Step 6: Final answer
    x = 546,622.27

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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.