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Finding the Third Proportional to 254,029.50 and 548,154

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Solution

The third proportional to 254,029.50 and 548,154 is: 1,182,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,029.50 : 548,154 = 548,154 : x
  2. Step 2: Convert to fraction form
    254,029.50/548,154 = 548,154/x
  3. Step 3: Cross multiply
    254,029.50x = 548,154 × 548,154
  4. Step 4: Simplify right side
    254,029.50x = 300,472,807,716
  5. Step 5: Solve for x
    x = 300,472,807,716/254,029.50
  6. Step 6: Final answer
    x = 1,182,826.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.