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Finding the Third Proportional to 200,717 and 295,531

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Solution

The third proportional to 200,717 and 295,531 is: 435,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717 : 295,531 = 295,531 : x
  2. Step 2: Convert to fraction form
    200,717/295,531 = 295,531/x
  3. Step 3: Cross multiply
    200,717x = 295,531 × 295,531
  4. Step 4: Simplify right side
    200,717x = 87,338,571,961
  5. Step 5: Solve for x
    x = 87,338,571,961/200,717
  6. Step 6: Final answer
    x = 435,132.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.