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Finding the Third Proportional to 223,198.88 and 319,048.88

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Solution

The third proportional to 223,198.88 and 319,048.88 is: 456,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198.88 : 319,048.88 = 319,048.88 : x
  2. Step 2: Convert to fraction form
    223,198.88/319,048.88 = 319,048.88/x
  3. Step 3: Cross multiply
    223,198.88x = 319,048.88 × 319,048.88
  4. Step 4: Simplify right side
    223,198.88x = 101,792,184,638.77
  5. Step 5: Solve for x
    x = 101,792,184,638.77/223,198.88
  6. Step 6: Final answer
    x = 456,060.47

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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.