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Finding the Third Proportional to 202,108 and 441,409

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Solution

The third proportional to 202,108 and 441,409 is: 964,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108 : 441,409 = 441,409 : x
  2. Step 2: Convert to fraction form
    202,108/441,409 = 441,409/x
  3. Step 3: Cross multiply
    202,108x = 441,409 × 441,409
  4. Step 4: Simplify right side
    202,108x = 194,841,905,281
  5. Step 5: Solve for x
    x = 194,841,905,281/202,108
  6. Step 6: Final answer
    x = 964,048.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.