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Finding the Third Proportional to 189,596 and 285,596

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Solution

The third proportional to 189,596 and 285,596 is: 430,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,596 : 285,596 = 285,596 : x
  2. Step 2: Convert to fraction form
    189,596/285,596 = 285,596/x
  3. Step 3: Cross multiply
    189,596x = 285,596 × 285,596
  4. Step 4: Simplify right side
    189,596x = 81,565,075,216
  5. Step 5: Solve for x
    x = 81,565,075,216/189,596
  6. Step 6: Final answer
    x = 430,204.62

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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.