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Finding the Third Proportional to 110,376 and 238,392

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Solution

The third proportional to 110,376 and 238,392 is: 514,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,376 : 238,392 = 238,392 : x
  2. Step 2: Convert to fraction form
    110,376/238,392 = 238,392/x
  3. Step 3: Cross multiply
    110,376x = 238,392 × 238,392
  4. Step 4: Simplify right side
    110,376x = 56,830,745,664
  5. Step 5: Solve for x
    x = 56,830,745,664/110,376
  6. Step 6: Final answer
    x = 514,883.18

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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.