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Finding the Third Proportional to 149,272 and 324,506

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Solution

The third proportional to 149,272 and 324,506 is: 705,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,272 : 324,506 = 324,506 : x
  2. Step 2: Convert to fraction form
    149,272/324,506 = 324,506/x
  3. Step 3: Cross multiply
    149,272x = 324,506 × 324,506
  4. Step 4: Simplify right side
    149,272x = 105,304,144,036
  5. Step 5: Solve for x
    x = 105,304,144,036/149,272
  6. Step 6: Final answer
    x = 705,451.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.