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Finding the Third Proportional to 195,490 and 304,907

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Solution

The third proportional to 195,490 and 304,907 is: 475,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,490 : 304,907 = 304,907 : x
  2. Step 2: Convert to fraction form
    195,490/304,907 = 304,907/x
  3. Step 3: Cross multiply
    195,490x = 304,907 × 304,907
  4. Step 4: Simplify right side
    195,490x = 92,968,278,649
  5. Step 5: Solve for x
    x = 92,968,278,649/195,490
  6. Step 6: Final answer
    x = 475,565.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.