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Finding the Third Proportional to 128,348 and 191,462

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Solution

The third proportional to 128,348 and 191,462 is: 285,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,348 : 191,462 = 191,462 : x
  2. Step 2: Convert to fraction form
    128,348/191,462 = 191,462/x
  3. Step 3: Cross multiply
    128,348x = 191,462 × 191,462
  4. Step 4: Simplify right side
    128,348x = 36,657,697,444
  5. Step 5: Solve for x
    x = 36,657,697,444/128,348
  6. Step 6: Final answer
    x = 285,611.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.