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Finding the Third Proportional to 123,565.50 and 270,003.38

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Solution

The third proportional to 123,565.50 and 270,003.38 is: 589,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,565.50 : 270,003.38 = 270,003.38 : x
  2. Step 2: Convert to fraction form
    123,565.50/270,003.38 = 270,003.38/x
  3. Step 3: Cross multiply
    123,565.50x = 270,003.38 × 270,003.38
  4. Step 4: Simplify right side
    123,565.50x = 72,901,822,511.39
  5. Step 5: Solve for x
    x = 72,901,822,511.39/123,565.50
  6. Step 6: Final answer
    x = 589,985.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.