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Finding the Third Proportional to 150,720 and 327,360

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Solution

The third proportional to 150,720 and 327,360 is: 711,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720 : 327,360 = 327,360 : x
  2. Step 2: Convert to fraction form
    150,720/327,360 = 327,360/x
  3. Step 3: Cross multiply
    150,720x = 327,360 × 327,360
  4. Step 4: Simplify right side
    150,720x = 107,164,569,600
  5. Step 5: Solve for x
    x = 107,164,569,600/150,720
  6. Step 6: Final answer
    x = 711,017.58

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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.