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Finding the Third Proportional to 109,467 and 236,430

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Solution

The third proportional to 109,467 and 236,430 is: 510,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,467 : 236,430 = 236,430 : x
  2. Step 2: Convert to fraction form
    109,467/236,430 = 236,430/x
  3. Step 3: Cross multiply
    109,467x = 236,430 × 236,430
  4. Step 4: Simplify right side
    109,467x = 55,899,144,900
  5. Step 5: Solve for x
    x = 55,899,144,900/109,467
  6. Step 6: Final answer
    x = 510,648.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.