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Finding the Third Proportional to 99,312 and 226,894

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Solution

The third proportional to 99,312 and 226,894 is: 518,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312 : 226,894 = 226,894 : x
  2. Step 2: Convert to fraction form
    99,312/226,894 = 226,894/x
  3. Step 3: Cross multiply
    99,312x = 226,894 × 226,894
  4. Step 4: Simplify right side
    99,312x = 51,480,887,236
  5. Step 5: Solve for x
    x = 51,480,887,236/99,312
  6. Step 6: Final answer
    x = 518,375.29

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.