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Finding the Third Proportional to 148,192 and 301,888

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Solution

The third proportional to 148,192 and 301,888 is: 614,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,192 : 301,888 = 301,888 : x
  2. Step 2: Convert to fraction form
    148,192/301,888 = 301,888/x
  3. Step 3: Cross multiply
    148,192x = 301,888 × 301,888
  4. Step 4: Simplify right side
    148,192x = 91,136,364,544
  5. Step 5: Solve for x
    x = 91,136,364,544/148,192
  6. Step 6: Final answer
    x = 614,988.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.