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Finding the Third Proportional to 201,561 and 304,949.25

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Solution

The third proportional to 201,561 and 304,949.25 is: 461,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,561 : 304,949.25 = 304,949.25 : x
  2. Step 2: Convert to fraction form
    201,561/304,949.25 = 304,949.25/x
  3. Step 3: Cross multiply
    201,561x = 304,949.25 × 304,949.25
  4. Step 4: Simplify right side
    201,561x = 92,994,045,075.56
  5. Step 5: Solve for x
    x = 92,994,045,075.56/201,561
  6. Step 6: Final answer
    x = 461,369.24

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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.