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Finding the Third Proportional to 189,888 and 295,200

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Solution

The third proportional to 189,888 and 295,200 is: 458,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,888 : 295,200 = 295,200 : x
  2. Step 2: Convert to fraction form
    189,888/295,200 = 295,200/x
  3. Step 3: Cross multiply
    189,888x = 295,200 × 295,200
  4. Step 4: Simplify right side
    189,888x = 87,143,040,000
  5. Step 5: Solve for x
    x = 87,143,040,000/189,888
  6. Step 6: Final answer
    x = 458,918.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.