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Finding the Third Proportional to 141,493 and 308,258

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Solution

The third proportional to 141,493 and 308,258 is: 671,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,493 : 308,258 = 308,258 : x
  2. Step 2: Convert to fraction form
    141,493/308,258 = 308,258/x
  3. Step 3: Cross multiply
    141,493x = 308,258 × 308,258
  4. Step 4: Simplify right side
    141,493x = 95,022,994,564
  5. Step 5: Solve for x
    x = 95,022,994,564/141,493
  6. Step 6: Final answer
    x = 671,573.82

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Why These Related Problems?

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