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Finding the Third Proportional to 189,598 and 285,599

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Solution

The third proportional to 189,598 and 285,599 is: 430,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598 : 285,599 = 285,599 : x
  2. Step 2: Convert to fraction form
    189,598/285,599 = 285,599/x
  3. Step 3: Cross multiply
    189,598x = 285,599 × 285,599
  4. Step 4: Simplify right side
    189,598x = 81,566,788,801
  5. Step 5: Solve for x
    x = 81,566,788,801/189,598
  6. Step 6: Final answer
    x = 430,209.12

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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.