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Finding the Third Proportional to 163,567 and 333,148

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Solution

The third proportional to 163,567 and 333,148 is: 678,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,567 : 333,148 = 333,148 : x
  2. Step 2: Convert to fraction form
    163,567/333,148 = 333,148/x
  3. Step 3: Cross multiply
    163,567x = 333,148 × 333,148
  4. Step 4: Simplify right side
    163,567x = 110,987,589,904
  5. Step 5: Solve for x
    x = 110,987,589,904/163,567
  6. Step 6: Final answer
    x = 678,545.12

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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.