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Finding the Third Proportional to 180,531.28 and 279,389.25

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Solution

The third proportional to 180,531.28 and 279,389.25 is: 432,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,531.28 : 279,389.25 = 279,389.25 : x
  2. Step 2: Convert to fraction form
    180,531.28/279,389.25 = 279,389.25/x
  3. Step 3: Cross multiply
    180,531.28x = 279,389.25 × 279,389.25
  4. Step 4: Simplify right side
    180,531.28x = 78,058,353,015.56
  5. Step 5: Solve for x
    x = 78,058,353,015.56/180,531.28
  6. Step 6: Final answer
    x = 432,381.32

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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.