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Finding the Third Proportional to 201,852 and 289,656

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Solution

The third proportional to 201,852 and 289,656 is: 415,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852 : 289,656 = 289,656 : x
  2. Step 2: Convert to fraction form
    201,852/289,656 = 289,656/x
  3. Step 3: Cross multiply
    201,852x = 289,656 × 289,656
  4. Step 4: Simplify right side
    201,852x = 83,900,598,336
  5. Step 5: Solve for x
    x = 83,900,598,336/201,852
  6. Step 6: Final answer
    x = 415,654.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.