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Finding the Third Proportional to 235,116 and 363,264.75

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Solution

The third proportional to 235,116 and 363,264.75 is: 561,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,116 : 363,264.75 = 363,264.75 : x
  2. Step 2: Convert to fraction form
    235,116/363,264.75 = 363,264.75/x
  3. Step 3: Cross multiply
    235,116x = 363,264.75 × 363,264.75
  4. Step 4: Simplify right side
    235,116x = 131,961,278,592.56
  5. Step 5: Solve for x
    x = 131,961,278,592.56/235,116
  6. Step 6: Final answer
    x = 561,260.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.