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Finding the Third Proportional to 94,794 and 219,453

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Solution

The third proportional to 94,794 and 219,453 is: 508,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,794 : 219,453 = 219,453 : x
  2. Step 2: Convert to fraction form
    94,794/219,453 = 219,453/x
  3. Step 3: Cross multiply
    94,794x = 219,453 × 219,453
  4. Step 4: Simplify right side
    94,794x = 48,159,619,209
  5. Step 5: Solve for x
    x = 48,159,619,209/94,794
  6. Step 6: Final answer
    x = 508,045.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.