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Finding the Third Proportional to 201,052.13 and 290,719.13

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Solution

The third proportional to 201,052.13 and 290,719.13 is: 420,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,052.13 : 290,719.13 = 290,719.13 : x
  2. Step 2: Convert to fraction form
    201,052.13/290,719.13 = 290,719.13/x
  3. Step 3: Cross multiply
    201,052.13x = 290,719.13 × 290,719.13
  4. Step 4: Simplify right side
    201,052.13x = 84,517,609,640.77
  5. Step 5: Solve for x
    x = 84,517,609,640.77/201,052.13
  6. Step 6: Final answer
    x = 420,376.60

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.