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Finding the Third Proportional to 146,742 and 233,425

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Solution

The third proportional to 146,742 and 233,425 is: 371,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,742 : 233,425 = 233,425 : x
  2. Step 2: Convert to fraction form
    146,742/233,425 = 233,425/x
  3. Step 3: Cross multiply
    146,742x = 233,425 × 233,425
  4. Step 4: Simplify right side
    146,742x = 54,487,230,625
  5. Step 5: Solve for x
    x = 54,487,230,625/146,742
  6. Step 6: Final answer
    x = 371,313.13

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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.