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Finding the Third Proportional to 163,569 and 333,152

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Solution

The third proportional to 163,569 and 333,152 is: 678,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,569 : 333,152 = 333,152 : x
  2. Step 2: Convert to fraction form
    163,569/333,152 = 333,152/x
  3. Step 3: Cross multiply
    163,569x = 333,152 × 333,152
  4. Step 4: Simplify right side
    163,569x = 110,990,255,104
  5. Step 5: Solve for x
    x = 110,990,255,104/163,569
  6. Step 6: Final answer
    x = 678,553.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.