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Finding the Third Proportional to 110,763 and 237,276

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Solution

The third proportional to 110,763 and 237,276 is: 508,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,763 : 237,276 = 237,276 : x
  2. Step 2: Convert to fraction form
    110,763/237,276 = 237,276/x
  3. Step 3: Cross multiply
    110,763x = 237,276 × 237,276
  4. Step 4: Simplify right side
    110,763x = 56,299,900,176
  5. Step 5: Solve for x
    x = 56,299,900,176/110,763
  6. Step 6: Final answer
    x = 508,291.58

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