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Finding the Third Proportional to 184,810 and 403,032

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Solution

The third proportional to 184,810 and 403,032 is: 878,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,810 : 403,032 = 403,032 : x
  2. Step 2: Convert to fraction form
    184,810/403,032 = 403,032/x
  3. Step 3: Cross multiply
    184,810x = 403,032 × 403,032
  4. Step 4: Simplify right side
    184,810x = 162,434,793,024
  5. Step 5: Solve for x
    x = 162,434,793,024/184,810
  6. Step 6: Final answer
    x = 878,928.59

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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.