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Finding the Third Proportional to 128,420 and 191,270

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Solution

The third proportional to 128,420 and 191,270 is: 284,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,420 : 191,270 = 191,270 : x
  2. Step 2: Convert to fraction form
    128,420/191,270 = 191,270/x
  3. Step 3: Cross multiply
    128,420x = 191,270 × 191,270
  4. Step 4: Simplify right side
    128,420x = 36,584,212,900
  5. Step 5: Solve for x
    x = 36,584,212,900/128,420
  6. Step 6: Final answer
    x = 284,879.40

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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.