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Finding the Third Proportional to 184,960 and 403,434

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Solution

The third proportional to 184,960 and 403,434 is: 879,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,960 : 403,434 = 403,434 : x
  2. Step 2: Convert to fraction form
    184,960/403,434 = 403,434/x
  3. Step 3: Cross multiply
    184,960x = 403,434 × 403,434
  4. Step 4: Simplify right side
    184,960x = 162,758,992,356
  5. Step 5: Solve for x
    x = 162,758,992,356/184,960
  6. Step 6: Final answer
    x = 879,968.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.