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Finding the Third Proportional to 189,702 and 285,804

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Solution

The third proportional to 189,702 and 285,804 is: 430,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,702 : 285,804 = 285,804 : x
  2. Step 2: Convert to fraction form
    189,702/285,804 = 285,804/x
  3. Step 3: Cross multiply
    189,702x = 285,804 × 285,804
  4. Step 4: Simplify right side
    189,702x = 81,683,926,416
  5. Step 5: Solve for x
    x = 81,683,926,416/189,702
  6. Step 6: Final answer
    x = 430,590.75

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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.