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Finding the Third Proportional to 189,467 and 286,168

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Solution

The third proportional to 189,467 and 286,168 is: 432,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,467 : 286,168 = 286,168 : x
  2. Step 2: Convert to fraction form
    189,467/286,168 = 286,168/x
  3. Step 3: Cross multiply
    189,467x = 286,168 × 286,168
  4. Step 4: Simplify right side
    189,467x = 81,892,124,224
  5. Step 5: Solve for x
    x = 81,892,124,224/189,467
  6. Step 6: Final answer
    x = 432,223.68

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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.