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Finding the Third Proportional to 166,527 and 253,936.50

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Solution

The third proportional to 166,527 and 253,936.50 is: 387,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,527 : 253,936.50 = 253,936.50 : x
  2. Step 2: Convert to fraction form
    166,527/253,936.50 = 253,936.50/x
  3. Step 3: Cross multiply
    166,527x = 253,936.50 × 253,936.50
  4. Step 4: Simplify right side
    166,527x = 64,483,746,032.25
  5. Step 5: Solve for x
    x = 64,483,746,032.25/166,527
  6. Step 6: Final answer
    x = 387,226.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.