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Finding the Third Proportional to 202,241 and 441,346

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Solution

The third proportional to 202,241 and 441,346 is: 963,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,241 : 441,346 = 441,346 : x
  2. Step 2: Convert to fraction form
    202,241/441,346 = 441,346/x
  3. Step 3: Cross multiply
    202,241x = 441,346 × 441,346
  4. Step 4: Simplify right side
    202,241x = 194,786,291,716
  5. Step 5: Solve for x
    x = 194,786,291,716/202,241
  6. Step 6: Final answer
    x = 963,139.48

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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.