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Finding the Third Proportional to 194,840 and 304,563

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Solution

The third proportional to 194,840 and 304,563 is: 476,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,840 : 304,563 = 304,563 : x
  2. Step 2: Convert to fraction form
    194,840/304,563 = 304,563/x
  3. Step 3: Cross multiply
    194,840x = 304,563 × 304,563
  4. Step 4: Simplify right side
    194,840x = 92,758,620,969
  5. Step 5: Solve for x
    x = 92,758,620,969/194,840
  6. Step 6: Final answer
    x = 476,075.86

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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.