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Finding the Third Proportional to 175,600.50 and 379,281

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Solution

The third proportional to 175,600.50 and 379,281 is: 819,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,600.50 : 379,281 = 379,281 : x
  2. Step 2: Convert to fraction form
    175,600.50/379,281 = 379,281/x
  3. Step 3: Cross multiply
    175,600.50x = 379,281 × 379,281
  4. Step 4: Simplify right side
    175,600.50x = 143,854,076,961
  5. Step 5: Solve for x
    x = 143,854,076,961/175,600.50
  6. Step 6: Final answer
    x = 819,212.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.