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Finding the Third Proportional to 191,397.94 and 417,853.69

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Solution

The third proportional to 191,397.94 and 417,853.69 is: 912,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,397.94 : 417,853.69 = 417,853.69 : x
  2. Step 2: Convert to fraction form
    191,397.94/417,853.69 = 417,853.69/x
  3. Step 3: Cross multiply
    191,397.94x = 417,853.69 × 417,853.69
  4. Step 4: Simplify right side
    191,397.94x = 174,601,704,157.35
  5. Step 5: Solve for x
    x = 174,601,704,157.35/191,397.94
  6. Step 6: Final answer
    x = 912,244.44

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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.