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Finding the Third Proportional to 201,615 and 304,043

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Solution

The third proportional to 201,615 and 304,043 is: 458,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,615 : 304,043 = 304,043 : x
  2. Step 2: Convert to fraction form
    201,615/304,043 = 304,043/x
  3. Step 3: Cross multiply
    201,615x = 304,043 × 304,043
  4. Step 4: Simplify right side
    201,615x = 92,442,145,849
  5. Step 5: Solve for x
    x = 92,442,145,849/201,615
  6. Step 6: Final answer
    x = 458,508.27

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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.