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Finding the Third Proportional to 195,314 and 418,276

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Solution

The third proportional to 195,314 and 418,276 is: 895,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,314 : 418,276 = 418,276 : x
  2. Step 2: Convert to fraction form
    195,314/418,276 = 418,276/x
  3. Step 3: Cross multiply
    195,314x = 418,276 × 418,276
  4. Step 4: Simplify right side
    195,314x = 174,954,812,176
  5. Step 5: Solve for x
    x = 174,954,812,176/195,314
  6. Step 6: Final answer
    x = 895,761.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.