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Finding the Third Proportional to 186,821.63 and 297,413.25

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Solution

The third proportional to 186,821.63 and 297,413.25 is: 473,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,821.63 : 297,413.25 = 297,413.25 : x
  2. Step 2: Convert to fraction form
    186,821.63/297,413.25 = 297,413.25/x
  3. Step 3: Cross multiply
    186,821.63x = 297,413.25 × 297,413.25
  4. Step 4: Simplify right side
    186,821.63x = 88,454,641,275.56
  5. Step 5: Solve for x
    x = 88,454,641,275.56/186,821.63
  6. Step 6: Final answer
    x = 473,471.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.