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Finding the Third Proportional to 117,290 and 252,819

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Solution

The third proportional to 117,290 and 252,819 is: 544,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,290 : 252,819 = 252,819 : x
  2. Step 2: Convert to fraction form
    117,290/252,819 = 252,819/x
  3. Step 3: Cross multiply
    117,290x = 252,819 × 252,819
  4. Step 4: Simplify right side
    117,290x = 63,917,446,761
  5. Step 5: Solve for x
    x = 63,917,446,761/117,290
  6. Step 6: Final answer
    x = 544,952.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.