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Finding the Third Proportional to 195,966 and 286,386

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Solution

The third proportional to 195,966 and 286,386 is: 418,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,966 : 286,386 = 286,386 : x
  2. Step 2: Convert to fraction form
    195,966/286,386 = 286,386/x
  3. Step 3: Cross multiply
    195,966x = 286,386 × 286,386
  4. Step 4: Simplify right side
    195,966x = 82,016,940,996
  5. Step 5: Solve for x
    x = 82,016,940,996/195,966
  6. Step 6: Final answer
    x = 418,526.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.