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Finding the Third Proportional to 184,588.50 and 403,344

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Solution

The third proportional to 184,588.50 and 403,344 is: 881,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,588.50 : 403,344 = 403,344 : x
  2. Step 2: Convert to fraction form
    184,588.50/403,344 = 403,344/x
  3. Step 3: Cross multiply
    184,588.50x = 403,344 × 403,344
  4. Step 4: Simplify right side
    184,588.50x = 162,686,382,336
  5. Step 5: Solve for x
    x = 162,686,382,336/184,588.50
  6. Step 6: Final answer
    x = 881,346.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.