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Finding the Third Proportional to 184,525 and 403,515

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Solution

The third proportional to 184,525 and 403,515 is: 882,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,525 : 403,515 = 403,515 : x
  2. Step 2: Convert to fraction form
    184,525/403,515 = 403,515/x
  3. Step 3: Cross multiply
    184,525x = 403,515 × 403,515
  4. Step 4: Simplify right side
    184,525x = 162,824,355,225
  5. Step 5: Solve for x
    x = 162,824,355,225/184,525
  6. Step 6: Final answer
    x = 882,397.26

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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.