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Finding the Third Proportional to 223,467.75 and 319,226.25

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Solution

The third proportional to 223,467.75 and 319,226.25 is: 456,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,467.75 : 319,226.25 = 319,226.25 : x
  2. Step 2: Convert to fraction form
    223,467.75/319,226.25 = 319,226.25/x
  3. Step 3: Cross multiply
    223,467.75x = 319,226.25 × 319,226.25
  4. Step 4: Simplify right side
    223,467.75x = 101,905,398,689.06
  5. Step 5: Solve for x
    x = 101,905,398,689.06/223,467.75
  6. Step 6: Final answer
    x = 456,018.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.