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Finding the Third Proportional to 184,122 and 403,389

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Solution

The third proportional to 184,122 and 403,389 is: 883,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,122 : 403,389 = 403,389 : x
  2. Step 2: Convert to fraction form
    184,122/403,389 = 403,389/x
  3. Step 3: Cross multiply
    184,122x = 403,389 × 403,389
  4. Step 4: Simplify right side
    184,122x = 162,722,685,321
  5. Step 5: Solve for x
    x = 162,722,685,321/184,122
  6. Step 6: Final answer
    x = 883,776.44

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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.