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Finding the Third Proportional to 171,423 and 256,968

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Solution

The third proportional to 171,423 and 256,968 is: 385,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,423 : 256,968 = 256,968 : x
  2. Step 2: Convert to fraction form
    171,423/256,968 = 256,968/x
  3. Step 3: Cross multiply
    171,423x = 256,968 × 256,968
  4. Step 4: Simplify right side
    171,423x = 66,032,553,024
  5. Step 5: Solve for x
    x = 66,032,553,024/171,423
  6. Step 6: Final answer
    x = 385,202.41

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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.