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Finding the Third Proportional to 202,467 and 297,117

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Solution

The third proportional to 202,467 and 297,117 is: 436,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,467 : 297,117 = 297,117 : x
  2. Step 2: Convert to fraction form
    202,467/297,117 = 297,117/x
  3. Step 3: Cross multiply
    202,467x = 297,117 × 297,117
  4. Step 4: Simplify right side
    202,467x = 88,278,511,689
  5. Step 5: Solve for x
    x = 88,278,511,689/202,467
  6. Step 6: Final answer
    x = 436,014.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.