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Finding the Third Proportional to 202,408 and 301,970

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Solution

The third proportional to 202,408 and 301,970 is: 450,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,408 : 301,970 = 301,970 : x
  2. Step 2: Convert to fraction form
    202,408/301,970 = 301,970/x
  3. Step 3: Cross multiply
    202,408x = 301,970 × 301,970
  4. Step 4: Simplify right side
    202,408x = 91,185,880,900
  5. Step 5: Solve for x
    x = 91,185,880,900/202,408
  6. Step 6: Final answer
    x = 450,505.32

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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.