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Finding the Third Proportional to 223,453.69 and 337,268.81

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Solution

The third proportional to 223,453.69 and 337,268.81 is: 509,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,453.69 : 337,268.81 = 337,268.81 : x
  2. Step 2: Convert to fraction form
    223,453.69/337,268.81 = 337,268.81/x
  3. Step 3: Cross multiply
    223,453.69x = 337,268.81 × 337,268.81
  4. Step 4: Simplify right side
    223,453.69x = 113,750,251,885.16
  5. Step 5: Solve for x
    x = 113,750,251,885.16/223,453.69
  6. Step 6: Final answer
    x = 509,055.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.