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Finding the Third Proportional to 117,353.81 and 253,413.56

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Solution

The third proportional to 117,353.81 and 253,413.56 is: 547,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,353.81 : 253,413.56 = 253,413.56 : x
  2. Step 2: Convert to fraction form
    117,353.81/253,413.56 = 253,413.56/x
  3. Step 3: Cross multiply
    117,353.81x = 253,413.56 × 253,413.56
  4. Step 4: Simplify right side
    117,353.81x = 64,218,433,658.94
  5. Step 5: Solve for x
    x = 64,218,433,658.94/117,353.81
  6. Step 6: Final answer
    x = 547,220.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.