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Finding the Third Proportional to 149,604 and 327,360

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Solution

The third proportional to 149,604 and 327,360 is: 716,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,604 : 327,360 = 327,360 : x
  2. Step 2: Convert to fraction form
    149,604/327,360 = 327,360/x
  3. Step 3: Cross multiply
    149,604x = 327,360 × 327,360
  4. Step 4: Simplify right side
    149,604x = 107,164,569,600
  5. Step 5: Solve for x
    x = 107,164,569,600/149,604
  6. Step 6: Final answer
    x = 716,321.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.