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Finding the Third Proportional to 184,480 and 278,414

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Solution

The third proportional to 184,480 and 278,414 is: 420,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,480 : 278,414 = 278,414 : x
  2. Step 2: Convert to fraction form
    184,480/278,414 = 278,414/x
  3. Step 3: Cross multiply
    184,480x = 278,414 × 278,414
  4. Step 4: Simplify right side
    184,480x = 77,514,355,396
  5. Step 5: Solve for x
    x = 77,514,355,396/184,480
  6. Step 6: Final answer
    x = 420,177.56

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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.