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Finding the Third Proportional to 110,852 and 268,362

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Solution

The third proportional to 110,852 and 268,362 is: 649,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,852 : 268,362 = 268,362 : x
  2. Step 2: Convert to fraction form
    110,852/268,362 = 268,362/x
  3. Step 3: Cross multiply
    110,852x = 268,362 × 268,362
  4. Step 4: Simplify right side
    110,852x = 72,018,163,044
  5. Step 5: Solve for x
    x = 72,018,163,044/110,852
  6. Step 6: Final answer
    x = 649,678.52

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.