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Finding the Third Proportional to 184,170 and 403,473

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Solution

The third proportional to 184,170 and 403,473 is: 883,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,170 : 403,473 = 403,473 : x
  2. Step 2: Convert to fraction form
    184,170/403,473 = 403,473/x
  3. Step 3: Cross multiply
    184,170x = 403,473 × 403,473
  4. Step 4: Simplify right side
    184,170x = 162,790,461,729
  5. Step 5: Solve for x
    x = 162,790,461,729/184,170
  6. Step 6: Final answer
    x = 883,914.11

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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.