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Finding the Third Proportional to 132,313 and 199,702

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Solution

The third proportional to 132,313 and 199,702 is: 301,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,313 : 199,702 = 199,702 : x
  2. Step 2: Convert to fraction form
    132,313/199,702 = 199,702/x
  3. Step 3: Cross multiply
    132,313x = 199,702 × 199,702
  4. Step 4: Simplify right side
    132,313x = 39,880,888,804
  5. Step 5: Solve for x
    x = 39,880,888,804/132,313
  6. Step 6: Final answer
    x = 301,413.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.