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Finding the Third Proportional to 110,653.59 and 237,433.78

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Solution

The third proportional to 110,653.59 and 237,433.78 is: 509,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,653.59 : 237,433.78 = 237,433.78 : x
  2. Step 2: Convert to fraction form
    110,653.59/237,433.78 = 237,433.78/x
  3. Step 3: Cross multiply
    110,653.59x = 237,433.78 × 237,433.78
  4. Step 4: Simplify right side
    110,653.59x = 56,374,800,478.67
  5. Step 5: Solve for x
    x = 56,374,800,478.67/110,653.59
  6. Step 6: Final answer
    x = 509,471.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.