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Finding the Third Proportional to 107,040 and 222,576

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Solution

The third proportional to 107,040 and 222,576 is: 462,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,040 : 222,576 = 222,576 : x
  2. Step 2: Convert to fraction form
    107,040/222,576 = 222,576/x
  3. Step 3: Cross multiply
    107,040x = 222,576 × 222,576
  4. Step 4: Simplify right side
    107,040x = 49,540,075,776
  5. Step 5: Solve for x
    x = 49,540,075,776/107,040
  6. Step 6: Final answer
    x = 462,818.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.