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Finding the Third Proportional to 176,201 and 268,433

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Solution

The third proportional to 176,201 and 268,433 is: 408,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,201 : 268,433 = 268,433 : x
  2. Step 2: Convert to fraction form
    176,201/268,433 = 268,433/x
  3. Step 3: Cross multiply
    176,201x = 268,433 × 268,433
  4. Step 4: Simplify right side
    176,201x = 72,056,275,489
  5. Step 5: Solve for x
    x = 72,056,275,489/176,201
  6. Step 6: Final answer
    x = 408,943.62

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Why These Related Problems?

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