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Finding the Third Proportional to 191,529.56 and 416,228.63

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Solution

The third proportional to 191,529.56 and 416,228.63 is: 904,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,529.56 : 416,228.63 = 416,228.63 : x
  2. Step 2: Convert to fraction form
    191,529.56/416,228.63 = 416,228.63/x
  3. Step 3: Cross multiply
    191,529.56x = 416,228.63 × 416,228.63
  4. Step 4: Simplify right side
    191,529.56x = 173,246,268,269.39
  5. Step 5: Solve for x
    x = 173,246,268,269.39/191,529.56
  6. Step 6: Final answer
    x = 904,540.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.