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Finding the Third Proportional to 225,409.50 and 337,547.25

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Solution

The third proportional to 225,409.50 and 337,547.25 is: 505,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,409.50 : 337,547.25 = 337,547.25 : x
  2. Step 2: Convert to fraction form
    225,409.50/337,547.25 = 337,547.25/x
  3. Step 3: Cross multiply
    225,409.50x = 337,547.25 × 337,547.25
  4. Step 4: Simplify right side
    225,409.50x = 113,938,145,982.56
  5. Step 5: Solve for x
    x = 113,938,145,982.56/225,409.50
  6. Step 6: Final answer
    x = 505,471.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.