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Finding the Third Proportional to 148,192 and 194,640

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Solution

The third proportional to 148,192 and 194,640 is: 255,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,192 : 194,640 = 194,640 : x
  2. Step 2: Convert to fraction form
    148,192/194,640 = 194,640/x
  3. Step 3: Cross multiply
    148,192x = 194,640 × 194,640
  4. Step 4: Simplify right side
    148,192x = 37,884,729,600
  5. Step 5: Solve for x
    x = 37,884,729,600/148,192
  6. Step 6: Final answer
    x = 255,646.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.