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Finding the Third Proportional to 165,894 and 251,913

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Solution

The third proportional to 165,894 and 251,913 is: 382,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,894 : 251,913 = 251,913 : x
  2. Step 2: Convert to fraction form
    165,894/251,913 = 251,913/x
  3. Step 3: Cross multiply
    165,894x = 251,913 × 251,913
  4. Step 4: Simplify right side
    165,894x = 63,460,159,569
  5. Step 5: Solve for x
    x = 63,460,159,569/165,894
  6. Step 6: Final answer
    x = 382,534.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.