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Finding the Third Proportional to 151,570 and 237,075

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Solution

The third proportional to 151,570 and 237,075 is: 370,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,570 : 237,075 = 237,075 : x
  2. Step 2: Convert to fraction form
    151,570/237,075 = 237,075/x
  3. Step 3: Cross multiply
    151,570x = 237,075 × 237,075
  4. Step 4: Simplify right side
    151,570x = 56,204,555,625
  5. Step 5: Solve for x
    x = 56,204,555,625/151,570
  6. Step 6: Final answer
    x = 370,815.83

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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.