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Finding the Third Proportional to 201,646 and 304,090

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Solution

The third proportional to 201,646 and 304,090 is: 458,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646 : 304,090 = 304,090 : x
  2. Step 2: Convert to fraction form
    201,646/304,090 = 304,090/x
  3. Step 3: Cross multiply
    201,646x = 304,090 × 304,090
  4. Step 4: Simplify right side
    201,646x = 92,470,728,100
  5. Step 5: Solve for x
    x = 92,470,728,100/201,646
  6. Step 6: Final answer
    x = 458,579.53

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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.