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Finding the Third Proportional to 190,193.06 and 284,693.48

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Solution

The third proportional to 190,193.06 and 284,693.48 is: 426,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,193.06 : 284,693.48 = 284,693.48 : x
  2. Step 2: Convert to fraction form
    190,193.06/284,693.48 = 284,693.48/x
  3. Step 3: Cross multiply
    190,193.06x = 284,693.48 × 284,693.48
  4. Step 4: Simplify right side
    190,193.06x = 81,050,380,045.58
  5. Step 5: Solve for x
    x = 81,050,380,045.58/190,193.06
  6. Step 6: Final answer
    x = 426,147.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.