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Finding the Third Proportional to 194,782 and 304,482

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Solution

The third proportional to 194,782 and 304,482 is: 475,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,782 : 304,482 = 304,482 : x
  2. Step 2: Convert to fraction form
    194,782/304,482 = 304,482/x
  3. Step 3: Cross multiply
    194,782x = 304,482 × 304,482
  4. Step 4: Simplify right side
    194,782x = 92,709,288,324
  5. Step 5: Solve for x
    x = 92,709,288,324/194,782
  6. Step 6: Final answer
    x = 475,964.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.