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Finding the Third Proportional to 184,074 and 290,943

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Solution

The third proportional to 184,074 and 290,943 is: 459,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,074 : 290,943 = 290,943 : x
  2. Step 2: Convert to fraction form
    184,074/290,943 = 290,943/x
  3. Step 3: Cross multiply
    184,074x = 290,943 × 290,943
  4. Step 4: Simplify right side
    184,074x = 84,647,829,249
  5. Step 5: Solve for x
    x = 84,647,829,249/184,074
  6. Step 6: Final answer
    x = 459,857.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.