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Finding the Third Proportional to 111,685.50 and 243,452.25

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Solution

The third proportional to 111,685.50 and 243,452.25 is: 530,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,685.50 : 243,452.25 = 243,452.25 : x
  2. Step 2: Convert to fraction form
    111,685.50/243,452.25 = 243,452.25/x
  3. Step 3: Cross multiply
    111,685.50x = 243,452.25 × 243,452.25
  4. Step 4: Simplify right side
    111,685.50x = 59,268,998,030.06
  5. Step 5: Solve for x
    x = 59,268,998,030.06/111,685.50
  6. Step 6: Final answer
    x = 530,677.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.