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Finding the Third Proportional to 164,088 and 353,322

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Solution

The third proportional to 164,088 and 353,322 is: 760,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,088 : 353,322 = 353,322 : x
  2. Step 2: Convert to fraction form
    164,088/353,322 = 353,322/x
  3. Step 3: Cross multiply
    164,088x = 353,322 × 353,322
  4. Step 4: Simplify right side
    164,088x = 124,836,435,684
  5. Step 5: Solve for x
    x = 124,836,435,684/164,088
  6. Step 6: Final answer
    x = 760,789.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.