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Finding the Third Proportional to 137,508.75 and 205,413.75

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Solution

The third proportional to 137,508.75 and 205,413.75 is: 306,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,508.75 : 205,413.75 = 205,413.75 : x
  2. Step 2: Convert to fraction form
    137,508.75/205,413.75 = 205,413.75/x
  3. Step 3: Cross multiply
    137,508.75x = 205,413.75 × 205,413.75
  4. Step 4: Simplify right side
    137,508.75x = 42,194,808,689.06
  5. Step 5: Solve for x
    x = 42,194,808,689.06/137,508.75
  6. Step 6: Final answer
    x = 306,851.81

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