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Finding the Third Proportional to 184,519 and 301,304

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Solution

The third proportional to 184,519 and 301,304 is: 492,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,519 : 301,304 = 301,304 : x
  2. Step 2: Convert to fraction form
    184,519/301,304 = 301,304/x
  3. Step 3: Cross multiply
    184,519x = 301,304 × 301,304
  4. Step 4: Simplify right side
    184,519x = 90,784,100,416
  5. Step 5: Solve for x
    x = 90,784,100,416/184,519
  6. Step 6: Final answer
    x = 492,004.08

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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.