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Finding the Third Proportional to 147,197 and 233,463

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Solution

The third proportional to 147,197 and 233,463 is: 370,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,197 : 233,463 = 233,463 : x
  2. Step 2: Convert to fraction form
    147,197/233,463 = 233,463/x
  3. Step 3: Cross multiply
    147,197x = 233,463 × 233,463
  4. Step 4: Simplify right side
    147,197x = 54,504,972,369
  5. Step 5: Solve for x
    x = 54,504,972,369/147,197
  6. Step 6: Final answer
    x = 370,285.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.