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Finding the Third Proportional to 201,420 and 296,562

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Solution

The third proportional to 201,420 and 296,562 is: 436,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420 : 296,562 = 296,562 : x
  2. Step 2: Convert to fraction form
    201,420/296,562 = 296,562/x
  3. Step 3: Cross multiply
    201,420x = 296,562 × 296,562
  4. Step 4: Simplify right side
    201,420x = 87,949,019,844
  5. Step 5: Solve for x
    x = 87,949,019,844/201,420
  6. Step 6: Final answer
    x = 436,644.92

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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.