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Finding the Third Proportional to 173,784.50 and 405,981

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Solution

The third proportional to 173,784.50 and 405,981 is: 948,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,784.50 : 405,981 = 405,981 : x
  2. Step 2: Convert to fraction form
    173,784.50/405,981 = 405,981/x
  3. Step 3: Cross multiply
    173,784.50x = 405,981 × 405,981
  4. Step 4: Simplify right side
    173,784.50x = 164,820,572,361
  5. Step 5: Solve for x
    x = 164,820,572,361/173,784.50
  6. Step 6: Final answer
    x = 948,419.29

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.