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Finding the Third Proportional to 110,426 and 238,336

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Solution

The third proportional to 110,426 and 238,336 is: 514,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,426 : 238,336 = 238,336 : x
  2. Step 2: Convert to fraction form
    110,426/238,336 = 238,336/x
  3. Step 3: Cross multiply
    110,426x = 238,336 × 238,336
  4. Step 4: Simplify right side
    110,426x = 56,804,048,896
  5. Step 5: Solve for x
    x = 56,804,048,896/110,426
  6. Step 6: Final answer
    x = 514,408.28

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