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Finding the Third Proportional to 240,322.50 and 362,324.25

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Solution

The third proportional to 240,322.50 and 362,324.25 is: 546,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,322.50 : 362,324.25 = 362,324.25 : x
  2. Step 2: Convert to fraction form
    240,322.50/362,324.25 = 362,324.25/x
  3. Step 3: Cross multiply
    240,322.50x = 362,324.25 × 362,324.25
  4. Step 4: Simplify right side
    240,322.50x = 131,278,862,138.06
  5. Step 5: Solve for x
    x = 131,278,862,138.06/240,322.50
  6. Step 6: Final answer
    x = 546,261.22

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