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Finding the Third Proportional to 151,293 and 329,199.75

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Solution

The third proportional to 151,293 and 329,199.75 is: 716,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,293 : 329,199.75 = 329,199.75 : x
  2. Step 2: Convert to fraction form
    151,293/329,199.75 = 329,199.75/x
  3. Step 3: Cross multiply
    151,293x = 329,199.75 × 329,199.75
  4. Step 4: Simplify right side
    151,293x = 108,372,475,400.06
  5. Step 5: Solve for x
    x = 108,372,475,400.06/151,293
  6. Step 6: Final answer
    x = 716,308.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.