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Finding the Third Proportional to 184,171 and 403,475

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Solution

The third proportional to 184,171 and 403,475 is: 883,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,171 : 403,475 = 403,475 : x
  2. Step 2: Convert to fraction form
    184,171/403,475 = 403,475/x
  3. Step 3: Cross multiply
    184,171x = 403,475 × 403,475
  4. Step 4: Simplify right side
    184,171x = 162,792,075,625
  5. Step 5: Solve for x
    x = 162,792,075,625/184,171
  6. Step 6: Final answer
    x = 883,918.07

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Why These Related Problems?

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