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Finding the Third Proportional to 189,913 and 300,725

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Solution

The third proportional to 189,913 and 300,725 is: 476,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,913 : 300,725 = 300,725 : x
  2. Step 2: Convert to fraction form
    189,913/300,725 = 300,725/x
  3. Step 3: Cross multiply
    189,913x = 300,725 × 300,725
  4. Step 4: Simplify right side
    189,913x = 90,435,525,625
  5. Step 5: Solve for x
    x = 90,435,525,625/189,913
  6. Step 6: Final answer
    x = 476,194.50

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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.