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Finding the Third Proportional to 182,989.13 and 266,145.75

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Solution

The third proportional to 182,989.13 and 266,145.75 is: 387,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,989.13 : 266,145.75 = 266,145.75 : x
  2. Step 2: Convert to fraction form
    182,989.13/266,145.75 = 266,145.75/x
  3. Step 3: Cross multiply
    182,989.13x = 266,145.75 × 266,145.75
  4. Step 4: Simplify right side
    182,989.13x = 70,833,560,243.06
  5. Step 5: Solve for x
    x = 70,833,560,243.06/182,989.13
  6. Step 6: Final answer
    x = 387,091.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.