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Finding the Third Proportional to 202,213 and 301,373

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Solution

The third proportional to 202,213 and 301,373 is: 449,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,213 : 301,373 = 301,373 : x
  2. Step 2: Convert to fraction form
    202,213/301,373 = 301,373/x
  3. Step 3: Cross multiply
    202,213x = 301,373 × 301,373
  4. Step 4: Simplify right side
    202,213x = 90,825,685,129
  5. Step 5: Solve for x
    x = 90,825,685,129/202,213
  6. Step 6: Final answer
    x = 449,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.