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Finding the Third Proportional to 155,413.69 and 183,799.13

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Solution

The third proportional to 155,413.69 and 183,799.13 is: 217,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,413.69 : 183,799.13 = 183,799.13 : x
  2. Step 2: Convert to fraction form
    155,413.69/183,799.13 = 183,799.13/x
  3. Step 3: Cross multiply
    155,413.69x = 183,799.13 × 183,799.13
  4. Step 4: Simplify right side
    155,413.69x = 33,782,118,350.77
  5. Step 5: Solve for x
    x = 33,782,118,350.77/155,413.69
  6. Step 6: Final answer
    x = 217,369.00

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.