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Finding the Third Proportional to 112,386 and 239,075

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Solution

The third proportional to 112,386 and 239,075 is: 508,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,386 : 239,075 = 239,075 : x
  2. Step 2: Convert to fraction form
    112,386/239,075 = 239,075/x
  3. Step 3: Cross multiply
    112,386x = 239,075 × 239,075
  4. Step 4: Simplify right side
    112,386x = 57,156,855,625
  5. Step 5: Solve for x
    x = 57,156,855,625/112,386
  6. Step 6: Final answer
    x = 508,576.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.