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Finding the Third Proportional to 201,251.25 and 430,683.75

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Solution

The third proportional to 201,251.25 and 430,683.75 is: 921,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,251.25 : 430,683.75 = 430,683.75 : x
  2. Step 2: Convert to fraction form
    201,251.25/430,683.75 = 430,683.75/x
  3. Step 3: Cross multiply
    201,251.25x = 430,683.75 × 430,683.75
  4. Step 4: Simplify right side
    201,251.25x = 185,488,492,514.06
  5. Step 5: Solve for x
    x = 185,488,492,514.06/201,251.25
  6. Step 6: Final answer
    x = 921,676.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.