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Finding the Third Proportional to 182,821.50 and 291,942

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Solution

The third proportional to 182,821.50 and 291,942 is: 466,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,821.50 : 291,942 = 291,942 : x
  2. Step 2: Convert to fraction form
    182,821.50/291,942 = 291,942/x
  3. Step 3: Cross multiply
    182,821.50x = 291,942 × 291,942
  4. Step 4: Simplify right side
    182,821.50x = 85,230,131,364
  5. Step 5: Solve for x
    x = 85,230,131,364/182,821.50
  6. Step 6: Final answer
    x = 466,193.15

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.