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Finding the Third Proportional to 164,065 and 234,609

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Solution

The third proportional to 164,065 and 234,609 is: 335,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,065 : 234,609 = 234,609 : x
  2. Step 2: Convert to fraction form
    164,065/234,609 = 234,609/x
  3. Step 3: Cross multiply
    164,065x = 234,609 × 234,609
  4. Step 4: Simplify right side
    164,065x = 55,041,382,881
  5. Step 5: Solve for x
    x = 55,041,382,881/164,065
  6. Step 6: Final answer
    x = 335,485.22

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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.