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Finding the Third Proportional to 110,724 and 237,576

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Solution

The third proportional to 110,724 and 237,576 is: 509,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,724 : 237,576 = 237,576 : x
  2. Step 2: Convert to fraction form
    110,724/237,576 = 237,576/x
  3. Step 3: Cross multiply
    110,724x = 237,576 × 237,576
  4. Step 4: Simplify right side
    110,724x = 56,442,355,776
  5. Step 5: Solve for x
    x = 56,442,355,776/110,724
  6. Step 6: Final answer
    x = 509,757.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.