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Finding the Third Proportional to 175,213.50 and 274,488

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Solution

The third proportional to 175,213.50 and 274,488 is: 430,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,213.50 : 274,488 = 274,488 : x
  2. Step 2: Convert to fraction form
    175,213.50/274,488 = 274,488/x
  3. Step 3: Cross multiply
    175,213.50x = 274,488 × 274,488
  4. Step 4: Simplify right side
    175,213.50x = 75,343,662,144
  5. Step 5: Solve for x
    x = 75,343,662,144/175,213.50
  6. Step 6: Final answer
    x = 430,010.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.