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Finding the Third Proportional to 143,662 and 227,370

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Solution

The third proportional to 143,662 and 227,370 is: 359,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,662 : 227,370 = 227,370 : x
  2. Step 2: Convert to fraction form
    143,662/227,370 = 227,370/x
  3. Step 3: Cross multiply
    143,662x = 227,370 × 227,370
  4. Step 4: Simplify right side
    143,662x = 51,697,116,900
  5. Step 5: Solve for x
    x = 51,697,116,900/143,662
  6. Step 6: Final answer
    x = 359,852.41

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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.