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Finding the Third Proportional to 189,913.50 and 300,726

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Solution

The third proportional to 189,913.50 and 300,726 is: 476,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,913.50 : 300,726 = 300,726 : x
  2. Step 2: Convert to fraction form
    189,913.50/300,726 = 300,726/x
  3. Step 3: Cross multiply
    189,913.50x = 300,726 × 300,726
  4. Step 4: Simplify right side
    189,913.50x = 90,436,127,076
  5. Step 5: Solve for x
    x = 90,436,127,076/189,913.50
  6. Step 6: Final answer
    x = 476,196.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.