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Finding the Third Proportional to 201,434 and 296,583

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Solution

The third proportional to 201,434 and 296,583 is: 436,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,434 : 296,583 = 296,583 : x
  2. Step 2: Convert to fraction form
    201,434/296,583 = 296,583/x
  3. Step 3: Cross multiply
    201,434x = 296,583 × 296,583
  4. Step 4: Simplify right side
    201,434x = 87,961,475,889
  5. Step 5: Solve for x
    x = 87,961,475,889/201,434
  6. Step 6: Final answer
    x = 436,676.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.