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Finding the Third Proportional to 191,837.11 and 417,276.56

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Solution

The third proportional to 191,837.11 and 417,276.56 is: 907,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,837.11 : 417,276.56 = 417,276.56 : x
  2. Step 2: Convert to fraction form
    191,837.11/417,276.56 = 417,276.56/x
  3. Step 3: Cross multiply
    191,837.11x = 417,276.56 × 417,276.56
  4. Step 4: Simplify right side
    191,837.11x = 174,119,729,611.82
  5. Step 5: Solve for x
    x = 174,119,729,611.82/191,837.11
  6. Step 6: Final answer
    x = 907,643.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.