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Finding the Third Proportional to 182,317 and 275,990.50

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Solution

The third proportional to 182,317 and 275,990.50 is: 417,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,317 : 275,990.50 = 275,990.50 : x
  2. Step 2: Convert to fraction form
    182,317/275,990.50 = 275,990.50/x
  3. Step 3: Cross multiply
    182,317x = 275,990.50 × 275,990.50
  4. Step 4: Simplify right side
    182,317x = 76,170,756,090.25
  5. Step 5: Solve for x
    x = 76,170,756,090.25/182,317
  6. Step 6: Final answer
    x = 417,792.94

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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.