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Finding the Third Proportional to 195,958 and 286,376

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Solution

The third proportional to 195,958 and 286,376 is: 418,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,958 : 286,376 = 286,376 : x
  2. Step 2: Convert to fraction form
    195,958/286,376 = 286,376/x
  3. Step 3: Cross multiply
    195,958x = 286,376 × 286,376
  4. Step 4: Simplify right side
    195,958x = 82,011,213,376
  5. Step 5: Solve for x
    x = 82,011,213,376/195,958
  6. Step 6: Final answer
    x = 418,514.24

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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.