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Finding the Third Proportional to 176,006 and 272,667

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Solution

The third proportional to 176,006 and 272,667 is: 422,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,006 : 272,667 = 272,667 : x
  2. Step 2: Convert to fraction form
    176,006/272,667 = 272,667/x
  3. Step 3: Cross multiply
    176,006x = 272,667 × 272,667
  4. Step 4: Simplify right side
    176,006x = 74,347,292,889
  5. Step 5: Solve for x
    x = 74,347,292,889/176,006
  6. Step 6: Final answer
    x = 422,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.