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Finding the Third Proportional to 225,425 and 359,462

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Solution

The third proportional to 225,425 and 359,462 is: 573,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,425 : 359,462 = 359,462 : x
  2. Step 2: Convert to fraction form
    225,425/359,462 = 359,462/x
  3. Step 3: Cross multiply
    225,425x = 359,462 × 359,462
  4. Step 4: Simplify right side
    225,425x = 129,212,929,444
  5. Step 5: Solve for x
    x = 129,212,929,444/225,425
  6. Step 6: Final answer
    x = 573,196.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.