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Finding the Third Proportional to 202,242 and 441,348

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Solution

The third proportional to 202,242 and 441,348 is: 963,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,242 : 441,348 = 441,348 : x
  2. Step 2: Convert to fraction form
    202,242/441,348 = 441,348/x
  3. Step 3: Cross multiply
    202,242x = 441,348 × 441,348
  4. Step 4: Simplify right side
    202,242x = 194,788,057,104
  5. Step 5: Solve for x
    x = 194,788,057,104/202,242
  6. Step 6: Final answer
    x = 963,143.45

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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.