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Finding the Third Proportional to 182,314.13 and 275,985.56

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Solution

The third proportional to 182,314.13 and 275,985.56 is: 417,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,314.13 : 275,985.56 = 275,985.56 : x
  2. Step 2: Convert to fraction form
    182,314.13/275,985.56 = 275,985.56/x
  3. Step 3: Cross multiply
    182,314.13x = 275,985.56 × 275,985.56
  4. Step 4: Simplify right side
    182,314.13x = 76,168,030,708.44
  5. Step 5: Solve for x
    x = 76,168,030,708.44/182,314.13
  6. Step 6: Final answer
    x = 417,784.58

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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.