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Finding the Third Proportional to 226,268 and 335,487.50

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Solution

The third proportional to 226,268 and 335,487.50 is: 497,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,268 : 335,487.50 = 335,487.50 : x
  2. Step 2: Convert to fraction form
    226,268/335,487.50 = 335,487.50/x
  3. Step 3: Cross multiply
    226,268x = 335,487.50 × 335,487.50
  4. Step 4: Simplify right side
    226,268x = 112,551,862,656.25
  5. Step 5: Solve for x
    x = 112,551,862,656.25/226,268
  6. Step 6: Final answer
    x = 497,427.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.