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Finding the Third Proportional to 100,244 and 237,482

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Solution

The third proportional to 100,244 and 237,482 is: 562,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,244 : 237,482 = 237,482 : x
  2. Step 2: Convert to fraction form
    100,244/237,482 = 237,482/x
  3. Step 3: Cross multiply
    100,244x = 237,482 × 237,482
  4. Step 4: Simplify right side
    100,244x = 56,397,700,324
  5. Step 5: Solve for x
    x = 56,397,700,324/100,244
  6. Step 6: Final answer
    x = 562,604.25

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.