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Finding the Third Proportional to 221,574.75 and 322,674

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Solution

The third proportional to 221,574.75 and 322,674 is: 469,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,574.75 : 322,674 = 322,674 : x
  2. Step 2: Convert to fraction form
    221,574.75/322,674 = 322,674/x
  3. Step 3: Cross multiply
    221,574.75x = 322,674 × 322,674
  4. Step 4: Simplify right side
    221,574.75x = 104,118,510,276
  5. Step 5: Solve for x
    x = 104,118,510,276/221,574.75
  6. Step 6: Final answer
    x = 469,902.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.