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Finding the Third Proportional to 265,416.75 and 399,188.25

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Solution

The third proportional to 265,416.75 and 399,188.25 is: 600,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,416.75 : 399,188.25 = 399,188.25 : x
  2. Step 2: Convert to fraction form
    265,416.75/399,188.25 = 399,188.25/x
  3. Step 3: Cross multiply
    265,416.75x = 399,188.25 × 399,188.25
  4. Step 4: Simplify right side
    265,416.75x = 159,351,258,938.06
  5. Step 5: Solve for x
    x = 159,351,258,938.06/265,416.75
  6. Step 6: Final answer
    x = 600,381.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.