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Finding the Third Proportional to 193,361.50 and 415,285.75

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Solution

The third proportional to 193,361.50 and 415,285.75 is: 891,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,361.50 : 415,285.75 = 415,285.75 : x
  2. Step 2: Convert to fraction form
    193,361.50/415,285.75 = 415,285.75/x
  3. Step 3: Cross multiply
    193,361.50x = 415,285.75 × 415,285.75
  4. Step 4: Simplify right side
    193,361.50x = 172,462,254,153.06
  5. Step 5: Solve for x
    x = 172,462,254,153.06/193,361.50
  6. Step 6: Final answer
    x = 891,916.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.