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Finding the Third Proportional to 207,249.75 and 304,075.69

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Solution

The third proportional to 207,249.75 and 304,075.69 is: 446,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,249.75 : 304,075.69 = 304,075.69 : x
  2. Step 2: Convert to fraction form
    207,249.75/304,075.69 = 304,075.69/x
  3. Step 3: Cross multiply
    207,249.75x = 304,075.69 × 304,075.69
  4. Step 4: Simplify right side
    207,249.75x = 92,462,023,728.60
  5. Step 5: Solve for x
    x = 92,462,023,728.60/207,249.75
  6. Step 6: Final answer
    x = 446,138.17

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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.