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Finding the Third Proportional to 184,164 and 403,464

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Solution

The third proportional to 184,164 and 403,464 is: 883,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,164 : 403,464 = 403,464 : x
  2. Step 2: Convert to fraction form
    184,164/403,464 = 403,464/x
  3. Step 3: Cross multiply
    184,164x = 403,464 × 403,464
  4. Step 4: Simplify right side
    184,164x = 162,783,199,296
  5. Step 5: Solve for x
    x = 162,783,199,296/184,164
  6. Step 6: Final answer
    x = 883,903.47

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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.