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Finding the Third Proportional to 200,080 and 305,201

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Solution

The third proportional to 200,080 and 305,201 is: 465,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,080 : 305,201 = 305,201 : x
  2. Step 2: Convert to fraction form
    200,080/305,201 = 305,201/x
  3. Step 3: Cross multiply
    200,080x = 305,201 × 305,201
  4. Step 4: Simplify right side
    200,080x = 93,147,650,401
  5. Step 5: Solve for x
    x = 93,147,650,401/200,080
  6. Step 6: Final answer
    x = 465,552.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.