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Finding the Third Proportional to 184,123 and 403,391

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Solution

The third proportional to 184,123 and 403,391 is: 883,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,123 : 403,391 = 403,391 : x
  2. Step 2: Convert to fraction form
    184,123/403,391 = 403,391/x
  3. Step 3: Cross multiply
    184,123x = 403,391 × 403,391
  4. Step 4: Simplify right side
    184,123x = 162,724,298,881
  5. Step 5: Solve for x
    x = 162,724,298,881/184,123
  6. Step 6: Final answer
    x = 883,780.40

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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.