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Finding the Third Proportional to 182,904.75 and 273,530.25

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Solution

The third proportional to 182,904.75 and 273,530.25 is: 409,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,904.75 : 273,530.25 = 273,530.25 : x
  2. Step 2: Convert to fraction form
    182,904.75/273,530.25 = 273,530.25/x
  3. Step 3: Cross multiply
    182,904.75x = 273,530.25 × 273,530.25
  4. Step 4: Simplify right side
    182,904.75x = 74,818,797,665.06
  5. Step 5: Solve for x
    x = 74,818,797,665.06/182,904.75
  6. Step 6: Final answer
    x = 409,058.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.