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Finding the Third Proportional to 84,004 and 186,779

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Solution

The third proportional to 84,004 and 186,779 is: 415,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,004 : 186,779 = 186,779 : x
  2. Step 2: Convert to fraction form
    84,004/186,779 = 186,779/x
  3. Step 3: Cross multiply
    84,004x = 186,779 × 186,779
  4. Step 4: Simplify right side
    84,004x = 34,886,394,841
  5. Step 5: Solve for x
    x = 34,886,394,841/84,004
  6. Step 6: Final answer
    x = 415,294.45

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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.