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Finding the Third Proportional to 107,281.13 and 235,568.25

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Solution

The third proportional to 107,281.13 and 235,568.25 is: 517,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,281.13 : 235,568.25 = 235,568.25 : x
  2. Step 2: Convert to fraction form
    107,281.13/235,568.25 = 235,568.25/x
  3. Step 3: Cross multiply
    107,281.13x = 235,568.25 × 235,568.25
  4. Step 4: Simplify right side
    107,281.13x = 55,492,400,408.06
  5. Step 5: Solve for x
    x = 55,492,400,408.06/107,281.13
  6. Step 6: Final answer
    x = 517,261.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.