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Finding the Third Proportional to 184,352 and 285,168

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Solution

The third proportional to 184,352 and 285,168 is: 441,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,352 : 285,168 = 285,168 : x
  2. Step 2: Convert to fraction form
    184,352/285,168 = 285,168/x
  3. Step 3: Cross multiply
    184,352x = 285,168 × 285,168
  4. Step 4: Simplify right side
    184,352x = 81,320,788,224
  5. Step 5: Solve for x
    x = 81,320,788,224/184,352
  6. Step 6: Final answer
    x = 441,116.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.