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Finding the Third Proportional to 182,181 and 275,812.50

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Solution

The third proportional to 182,181 and 275,812.50 is: 417,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,181 : 275,812.50 = 275,812.50 : x
  2. Step 2: Convert to fraction form
    182,181/275,812.50 = 275,812.50/x
  3. Step 3: Cross multiply
    182,181x = 275,812.50 × 275,812.50
  4. Step 4: Simplify right side
    182,181x = 76,072,535,156.25
  5. Step 5: Solve for x
    x = 76,072,535,156.25/182,181
  6. Step 6: Final answer
    x = 417,565.69

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Why These Related Problems?

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