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Finding the Third Proportional to 190,111.50 and 284,598

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Solution

The third proportional to 190,111.50 and 284,598 is: 426,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,111.50 : 284,598 = 284,598 : x
  2. Step 2: Convert to fraction form
    190,111.50/284,598 = 284,598/x
  3. Step 3: Cross multiply
    190,111.50x = 284,598 × 284,598
  4. Step 4: Simplify right side
    190,111.50x = 80,996,021,604
  5. Step 5: Solve for x
    x = 80,996,021,604/190,111.50
  6. Step 6: Final answer
    x = 426,044.83

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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.