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Finding the Third Proportional to 150,679 and 233,461

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Solution

The third proportional to 150,679 and 233,461 is: 361,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,679 : 233,461 = 233,461 : x
  2. Step 2: Convert to fraction form
    150,679/233,461 = 233,461/x
  3. Step 3: Cross multiply
    150,679x = 233,461 × 233,461
  4. Step 4: Simplify right side
    150,679x = 54,504,038,521
  5. Step 5: Solve for x
    x = 54,504,038,521/150,679
  6. Step 6: Final answer
    x = 361,722.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.