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Finding the Third Proportional to 224,232 and 333,152

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Solution

The third proportional to 224,232 and 333,152 is: 494,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,232 : 333,152 = 333,152 : x
  2. Step 2: Convert to fraction form
    224,232/333,152 = 333,152/x
  3. Step 3: Cross multiply
    224,232x = 333,152 × 333,152
  4. Step 4: Simplify right side
    224,232x = 110,990,255,104
  5. Step 5: Solve for x
    x = 110,990,255,104/224,232
  6. Step 6: Final answer
    x = 494,979.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.