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Finding the Third Proportional to 143,662 and 227,369

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Solution

The third proportional to 143,662 and 227,369 is: 359,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,662 : 227,369 = 227,369 : x
  2. Step 2: Convert to fraction form
    143,662/227,369 = 227,369/x
  3. Step 3: Cross multiply
    143,662x = 227,369 × 227,369
  4. Step 4: Simplify right side
    143,662x = 51,696,662,161
  5. Step 5: Solve for x
    x = 51,696,662,161/143,662
  6. Step 6: Final answer
    x = 359,849.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.