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Finding the Third Proportional to 176,268 and 264,792

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Solution

The third proportional to 176,268 and 264,792 is: 397,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,268 : 264,792 = 264,792 : x
  2. Step 2: Convert to fraction form
    176,268/264,792 = 264,792/x
  3. Step 3: Cross multiply
    176,268x = 264,792 × 264,792
  4. Step 4: Simplify right side
    176,268x = 70,114,803,264
  5. Step 5: Solve for x
    x = 70,114,803,264/176,268
  6. Step 6: Final answer
    x = 397,773.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.