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Finding the Third Proportional to 205,670.25 and 310,692.38

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Solution

The third proportional to 205,670.25 and 310,692.38 is: 469,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,670.25 : 310,692.38 = 310,692.38 : x
  2. Step 2: Convert to fraction form
    205,670.25/310,692.38 = 310,692.38/x
  3. Step 3: Cross multiply
    205,670.25x = 310,692.38 × 310,692.38
  4. Step 4: Simplify right side
    205,670.25x = 96,529,751,883.14
  5. Step 5: Solve for x
    x = 96,529,751,883.14/205,670.25
  6. Step 6: Final answer
    x = 469,342.32

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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.