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Finding the Third Proportional to 239,434 and 357,075

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Solution

The third proportional to 239,434 and 357,075 is: 532,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,434 : 357,075 = 357,075 : x
  2. Step 2: Convert to fraction form
    239,434/357,075 = 357,075/x
  3. Step 3: Cross multiply
    239,434x = 357,075 × 357,075
  4. Step 4: Simplify right side
    239,434x = 127,502,555,625
  5. Step 5: Solve for x
    x = 127,502,555,625/239,434
  6. Step 6: Final answer
    x = 532,516.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.