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Finding the Third Proportional to 267,075 and 415,930.50

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Solution

The third proportional to 267,075 and 415,930.50 is: 647,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,075 : 415,930.50 = 415,930.50 : x
  2. Step 2: Convert to fraction form
    267,075/415,930.50 = 415,930.50/x
  3. Step 3: Cross multiply
    267,075x = 415,930.50 × 415,930.50
  4. Step 4: Simplify right side
    267,075x = 172,998,180,830.25
  5. Step 5: Solve for x
    x = 172,998,180,830.25/267,075
  6. Step 6: Final answer
    x = 647,751.31

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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.