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Finding the Third Proportional to 184,644 and 301,478

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Solution

The third proportional to 184,644 and 301,478 is: 492,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,644 : 301,478 = 301,478 : x
  2. Step 2: Convert to fraction form
    184,644/301,478 = 301,478/x
  3. Step 3: Cross multiply
    184,644x = 301,478 × 301,478
  4. Step 4: Simplify right side
    184,644x = 90,888,984,484
  5. Step 5: Solve for x
    x = 90,888,984,484/184,644
  6. Step 6: Final answer
    x = 492,239.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.