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Finding the Third Proportional to 105,623 and 234,860

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Solution

The third proportional to 105,623 and 234,860 is: 522,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,623 : 234,860 = 234,860 : x
  2. Step 2: Convert to fraction form
    105,623/234,860 = 234,860/x
  3. Step 3: Cross multiply
    105,623x = 234,860 × 234,860
  4. Step 4: Simplify right side
    105,623x = 55,159,219,600
  5. Step 5: Solve for x
    x = 55,159,219,600/105,623
  6. Step 6: Final answer
    x = 522,227.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.