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Finding the Third Proportional to 110,764 and 237,278

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Solution

The third proportional to 110,764 and 237,278 is: 508,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,764 : 237,278 = 237,278 : x
  2. Step 2: Convert to fraction form
    110,764/237,278 = 237,278/x
  3. Step 3: Cross multiply
    110,764x = 237,278 × 237,278
  4. Step 4: Simplify right side
    110,764x = 56,300,849,284
  5. Step 5: Solve for x
    x = 56,300,849,284/110,764
  6. Step 6: Final answer
    x = 508,295.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.