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Finding the Third Proportional to 201,490 and 441,188

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Solution

The third proportional to 201,490 and 441,188 is: 966,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,490 : 441,188 = 441,188 : x
  2. Step 2: Convert to fraction form
    201,490/441,188 = 441,188/x
  3. Step 3: Cross multiply
    201,490x = 441,188 × 441,188
  4. Step 4: Simplify right side
    201,490x = 194,646,851,344
  5. Step 5: Solve for x
    x = 194,646,851,344/201,490
  6. Step 6: Final answer
    x = 966,037.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.