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Finding the Third Proportional to 195,996 and 286,428

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Solution

The third proportional to 195,996 and 286,428 is: 418,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,996 : 286,428 = 286,428 : x
  2. Step 2: Convert to fraction form
    195,996/286,428 = 286,428/x
  3. Step 3: Cross multiply
    195,996x = 286,428 × 286,428
  4. Step 4: Simplify right side
    195,996x = 82,040,999,184
  5. Step 5: Solve for x
    x = 82,040,999,184/195,996
  6. Step 6: Final answer
    x = 418,585.07

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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.