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Finding the Third Proportional to 190,093.50 and 403,407

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Solution

The third proportional to 190,093.50 and 403,407 is: 856,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,093.50 : 403,407 = 403,407 : x
  2. Step 2: Convert to fraction form
    190,093.50/403,407 = 403,407/x
  3. Step 3: Cross multiply
    190,093.50x = 403,407 × 403,407
  4. Step 4: Simplify right side
    190,093.50x = 162,737,207,649
  5. Step 5: Solve for x
    x = 162,737,207,649/190,093.50
  6. Step 6: Final answer
    x = 856,090.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.