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Finding the Third Proportional to 110,322 and 238,136

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Solution

The third proportional to 110,322 and 238,136 is: 514,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,322 : 238,136 = 238,136 : x
  2. Step 2: Convert to fraction form
    110,322/238,136 = 238,136/x
  3. Step 3: Cross multiply
    110,322x = 238,136 × 238,136
  4. Step 4: Simplify right side
    110,322x = 56,708,754,496
  5. Step 5: Solve for x
    x = 56,708,754,496/110,322
  6. Step 6: Final answer
    x = 514,029.43

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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.