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Finding the Third Proportional to 175,754.50 and 272,371

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Solution

The third proportional to 175,754.50 and 272,371 is: 422,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,754.50 : 272,371 = 272,371 : x
  2. Step 2: Convert to fraction form
    175,754.50/272,371 = 272,371/x
  3. Step 3: Cross multiply
    175,754.50x = 272,371 × 272,371
  4. Step 4: Simplify right side
    175,754.50x = 74,185,961,641
  5. Step 5: Solve for x
    x = 74,185,961,641/175,754.50
  6. Step 6: Final answer
    x = 422,099.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.