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Finding the Third Proportional to 164,914 and 353,148

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Solution

The third proportional to 164,914 and 353,148 is: 756,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,914 : 353,148 = 353,148 : x
  2. Step 2: Convert to fraction form
    164,914/353,148 = 353,148/x
  3. Step 3: Cross multiply
    164,914x = 353,148 × 353,148
  4. Step 4: Simplify right side
    164,914x = 124,713,509,904
  5. Step 5: Solve for x
    x = 124,713,509,904/164,914
  6. Step 6: Final answer
    x = 756,233.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.