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Finding the Third Proportional to 184,835 and 278,567

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Solution

The third proportional to 184,835 and 278,567 is: 419,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,835 : 278,567 = 278,567 : x
  2. Step 2: Convert to fraction form
    184,835/278,567 = 278,567/x
  3. Step 3: Cross multiply
    184,835x = 278,567 × 278,567
  4. Step 4: Simplify right side
    184,835x = 77,599,573,489
  5. Step 5: Solve for x
    x = 77,599,573,489/184,835
  6. Step 6: Final answer
    x = 419,831.60

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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.