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Finding the Third Proportional to 227,241 and 336,487.50

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Solution

The third proportional to 227,241 and 336,487.50 is: 498,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,241 : 336,487.50 = 336,487.50 : x
  2. Step 2: Convert to fraction form
    227,241/336,487.50 = 336,487.50/x
  3. Step 3: Cross multiply
    227,241x = 336,487.50 × 336,487.50
  4. Step 4: Simplify right side
    227,241x = 113,223,837,656.25
  5. Step 5: Solve for x
    x = 113,223,837,656.25/227,241
  6. Step 6: Final answer
    x = 498,254.44

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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.