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Finding the Third Proportional to 182,124 and 275,725.50

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Solution

The third proportional to 182,124 and 275,725.50 is: 417,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,124 : 275,725.50 = 275,725.50 : x
  2. Step 2: Convert to fraction form
    182,124/275,725.50 = 275,725.50/x
  3. Step 3: Cross multiply
    182,124x = 275,725.50 × 275,725.50
  4. Step 4: Simplify right side
    182,124x = 76,024,551,350.25
  5. Step 5: Solve for x
    x = 76,024,551,350.25/182,124
  6. Step 6: Final answer
    x = 417,432.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.