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Finding the Third Proportional to 149,610 and 327,373

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Solution

The third proportional to 149,610 and 327,373 is: 716,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,610 : 327,373 = 327,373 : x
  2. Step 2: Convert to fraction form
    149,610/327,373 = 327,373/x
  3. Step 3: Cross multiply
    149,610x = 327,373 × 327,373
  4. Step 4: Simplify right side
    149,610x = 107,173,081,129
  5. Step 5: Solve for x
    x = 107,173,081,129/149,610
  6. Step 6: Final answer
    x = 716,349.72

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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.