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Finding the Third Proportional to 176,667 and 262,600.50

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Solution

The third proportional to 176,667 and 262,600.50 is: 390,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,667 : 262,600.50 = 262,600.50 : x
  2. Step 2: Convert to fraction form
    176,667/262,600.50 = 262,600.50/x
  3. Step 3: Cross multiply
    176,667x = 262,600.50 × 262,600.50
  4. Step 4: Simplify right side
    176,667x = 68,959,022,600.25
  5. Step 5: Solve for x
    x = 68,959,022,600.25/176,667
  6. Step 6: Final answer
    x = 390,333.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.