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Finding the Third Proportional to 189,697 and 285,798

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Solution

The third proportional to 189,697 and 285,798 is: 430,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,697 : 285,798 = 285,798 : x
  2. Step 2: Convert to fraction form
    189,697/285,798 = 285,798/x
  3. Step 3: Cross multiply
    189,697x = 285,798 × 285,798
  4. Step 4: Simplify right side
    189,697x = 81,680,496,804
  5. Step 5: Solve for x
    x = 81,680,496,804/189,697
  6. Step 6: Final answer
    x = 430,584.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.