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Finding the Third Proportional to 234,425 and 363,221

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Solution

The third proportional to 234,425 and 363,221 is: 562,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,425 : 363,221 = 363,221 : x
  2. Step 2: Convert to fraction form
    234,425/363,221 = 363,221/x
  3. Step 3: Cross multiply
    234,425x = 363,221 × 363,221
  4. Step 4: Simplify right side
    234,425x = 131,929,494,841
  5. Step 5: Solve for x
    x = 131,929,494,841/234,425
  6. Step 6: Final answer
    x = 562,779.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.