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Finding the Third Proportional to 184,798 and 278,863

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Solution

The third proportional to 184,798 and 278,863 is: 420,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,798 : 278,863 = 278,863 : x
  2. Step 2: Convert to fraction form
    184,798/278,863 = 278,863/x
  3. Step 3: Cross multiply
    184,798x = 278,863 × 278,863
  4. Step 4: Simplify right side
    184,798x = 77,764,572,769
  5. Step 5: Solve for x
    x = 77,764,572,769/184,798
  6. Step 6: Final answer
    x = 420,808.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.