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Finding the Third Proportional to 184,170 and 403,476

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Solution

The third proportional to 184,170 and 403,476 is: 883,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,170 : 403,476 = 403,476 : x
  2. Step 2: Convert to fraction form
    184,170/403,476 = 403,476/x
  3. Step 3: Cross multiply
    184,170x = 403,476 × 403,476
  4. Step 4: Simplify right side
    184,170x = 162,792,882,576
  5. Step 5: Solve for x
    x = 162,792,882,576/184,170
  6. Step 6: Final answer
    x = 883,927.26

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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.