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Finding the Third Proportional to 182,499 and 273,018

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Solution

The third proportional to 182,499 and 273,018 is: 408,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,499 : 273,018 = 273,018 : x
  2. Step 2: Convert to fraction form
    182,499/273,018 = 273,018/x
  3. Step 3: Cross multiply
    182,499x = 273,018 × 273,018
  4. Step 4: Simplify right side
    182,499x = 74,538,828,324
  5. Step 5: Solve for x
    x = 74,538,828,324/182,499
  6. Step 6: Final answer
    x = 408,434.17

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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.