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Finding the Third Proportional to 152,827.50 and 331,914

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Solution

The third proportional to 152,827.50 and 331,914 is: 720,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,827.50 : 331,914 = 331,914 : x
  2. Step 2: Convert to fraction form
    152,827.50/331,914 = 331,914/x
  3. Step 3: Cross multiply
    152,827.50x = 331,914 × 331,914
  4. Step 4: Simplify right side
    152,827.50x = 110,166,903,396
  5. Step 5: Solve for x
    x = 110,166,903,396/152,827.50
  6. Step 6: Final answer
    x = 720,857.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.