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Finding the Third Proportional to 110,178 and 237,852

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Solution

The third proportional to 110,178 and 237,852 is: 513,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,178 : 237,852 = 237,852 : x
  2. Step 2: Convert to fraction form
    110,178/237,852 = 237,852/x
  3. Step 3: Cross multiply
    110,178x = 237,852 × 237,852
  4. Step 4: Simplify right side
    110,178x = 56,573,573,904
  5. Step 5: Solve for x
    x = 56,573,573,904/110,178
  6. Step 6: Final answer
    x = 513,474.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.