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Finding the Third Proportional to 106,807.50 and 227,418

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Solution

The third proportional to 106,807.50 and 227,418 is: 484,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.50 : 227,418 = 227,418 : x
  2. Step 2: Convert to fraction form
    106,807.50/227,418 = 227,418/x
  3. Step 3: Cross multiply
    106,807.50x = 227,418 × 227,418
  4. Step 4: Simplify right side
    106,807.50x = 51,718,946,724
  5. Step 5: Solve for x
    x = 51,718,946,724/106,807.50
  6. Step 6: Final answer
    x = 484,225.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.