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Finding the Third Proportional to 197,075 and 297,327

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Solution

The third proportional to 197,075 and 297,327 is: 448,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,075 : 297,327 = 297,327 : x
  2. Step 2: Convert to fraction form
    197,075/297,327 = 297,327/x
  3. Step 3: Cross multiply
    197,075x = 297,327 × 297,327
  4. Step 4: Simplify right side
    197,075x = 88,403,344,929
  5. Step 5: Solve for x
    x = 88,403,344,929/197,075
  6. Step 6: Final answer
    x = 448,577.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.