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Finding the Third Proportional to 147,187 and 233,183

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Solution

The third proportional to 147,187 and 233,183 is: 369,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,187 : 233,183 = 233,183 : x
  2. Step 2: Convert to fraction form
    147,187/233,183 = 233,183/x
  3. Step 3: Cross multiply
    147,187x = 233,183 × 233,183
  4. Step 4: Simplify right side
    147,187x = 54,374,311,489
  5. Step 5: Solve for x
    x = 54,374,311,489/147,187
  6. Step 6: Final answer
    x = 369,423.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.