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Finding the Third Proportional to 94,244 and 201,564

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Solution

The third proportional to 94,244 and 201,564 is: 431,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,244 : 201,564 = 201,564 : x
  2. Step 2: Convert to fraction form
    94,244/201,564 = 201,564/x
  3. Step 3: Cross multiply
    94,244x = 201,564 × 201,564
  4. Step 4: Simplify right side
    94,244x = 40,628,046,096
  5. Step 5: Solve for x
    x = 40,628,046,096/94,244
  6. Step 6: Final answer
    x = 431,094.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.