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Finding the Third Proportional to 201,146 and 303,770

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Solution

The third proportional to 201,146 and 303,770 is: 458,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146 : 303,770 = 303,770 : x
  2. Step 2: Convert to fraction form
    201,146/303,770 = 303,770/x
  3. Step 3: Cross multiply
    201,146x = 303,770 × 303,770
  4. Step 4: Simplify right side
    201,146x = 92,276,212,900
  5. Step 5: Solve for x
    x = 92,276,212,900/201,146
  6. Step 6: Final answer
    x = 458,752.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.