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Finding the Third Proportional to 131,432 and 192,468

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Solution

The third proportional to 131,432 and 192,468 is: 281,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,432 : 192,468 = 192,468 : x
  2. Step 2: Convert to fraction form
    131,432/192,468 = 192,468/x
  3. Step 3: Cross multiply
    131,432x = 192,468 × 192,468
  4. Step 4: Simplify right side
    131,432x = 37,043,931,024
  5. Step 5: Solve for x
    x = 37,043,931,024/131,432
  6. Step 6: Final answer
    x = 281,848.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.