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Finding the Third Proportional to 225,693.84 and 459,269.68

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Solution

The third proportional to 225,693.84 and 459,269.68 is: 934,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,693.84 : 459,269.68 = 459,269.68 : x
  2. Step 2: Convert to fraction form
    225,693.84/459,269.68 = 459,269.68/x
  3. Step 3: Cross multiply
    225,693.84x = 459,269.68 × 459,269.68
  4. Step 4: Simplify right side
    225,693.84x = 210,928,642,268.30
  5. Step 5: Solve for x
    x = 210,928,642,268.30/225,693.84
  6. Step 6: Final answer
    x = 934,578.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.