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Finding the Third Proportional to 109,574.50 and 235,794

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Solution

The third proportional to 109,574.50 and 235,794 is: 507,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,574.50 : 235,794 = 235,794 : x
  2. Step 2: Convert to fraction form
    109,574.50/235,794 = 235,794/x
  3. Step 3: Cross multiply
    109,574.50x = 235,794 × 235,794
  4. Step 4: Simplify right side
    109,574.50x = 55,598,810,436
  5. Step 5: Solve for x
    x = 55,598,810,436/109,574.50
  6. Step 6: Final answer
    x = 507,406.47

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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.