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Finding the Third Proportional to 110,374.88 and 238,388.63

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Solution

The third proportional to 110,374.88 and 238,388.63 is: 514,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,374.88 : 238,388.63 = 238,388.63 : x
  2. Step 2: Convert to fraction form
    110,374.88/238,388.63 = 238,388.63/x
  3. Step 3: Cross multiply
    110,374.88x = 238,388.63 × 238,388.63
  4. Step 4: Simplify right side
    110,374.88x = 56,829,136,529.39
  5. Step 5: Solve for x
    x = 56,829,136,529.39/110,374.88
  6. Step 6: Final answer
    x = 514,873.85

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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.