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Finding the Third Proportional to 183,842 and 253,162

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Solution

The third proportional to 183,842 and 253,162 is: 348,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,842 : 253,162 = 253,162 : x
  2. Step 2: Convert to fraction form
    183,842/253,162 = 253,162/x
  3. Step 3: Cross multiply
    183,842x = 253,162 × 253,162
  4. Step 4: Simplify right side
    183,842x = 64,090,998,244
  5. Step 5: Solve for x
    x = 64,090,998,244/183,842
  6. Step 6: Final answer
    x = 348,620.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.