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Finding the Third Proportional to 184,747.50 and 403,623

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Solution

The third proportional to 184,747.50 and 403,623 is: 881,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,747.50 : 403,623 = 403,623 : x
  2. Step 2: Convert to fraction form
    184,747.50/403,623 = 403,623/x
  3. Step 3: Cross multiply
    184,747.50x = 403,623 × 403,623
  4. Step 4: Simplify right side
    184,747.50x = 162,911,526,129
  5. Step 5: Solve for x
    x = 162,911,526,129/184,747.50
  6. Step 6: Final answer
    x = 881,806.39

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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.