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Finding the Third Proportional to 169,992.75 and 230,026.50

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Solution

The third proportional to 169,992.75 and 230,026.50 is: 311,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,992.75 : 230,026.50 = 230,026.50 : x
  2. Step 2: Convert to fraction form
    169,992.75/230,026.50 = 230,026.50/x
  3. Step 3: Cross multiply
    169,992.75x = 230,026.50 × 230,026.50
  4. Step 4: Simplify right side
    169,992.75x = 52,912,190,702.25
  5. Step 5: Solve for x
    x = 52,912,190,702.25/169,992.75
  6. Step 6: Final answer
    x = 311,261.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.