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Finding the Third Proportional to 234,417 and 361,353

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Solution

The third proportional to 234,417 and 361,353 is: 557,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,417 : 361,353 = 361,353 : x
  2. Step 2: Convert to fraction form
    234,417/361,353 = 361,353/x
  3. Step 3: Cross multiply
    234,417x = 361,353 × 361,353
  4. Step 4: Simplify right side
    234,417x = 130,575,990,609
  5. Step 5: Solve for x
    x = 130,575,990,609/234,417
  6. Step 6: Final answer
    x = 557,024.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.