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Finding the Third Proportional to 164,351.25 and 341,338.50

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Solution

The third proportional to 164,351.25 and 341,338.50 is: 708,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,351.25 : 341,338.50 = 341,338.50 : x
  2. Step 2: Convert to fraction form
    164,351.25/341,338.50 = 341,338.50/x
  3. Step 3: Cross multiply
    164,351.25x = 341,338.50 × 341,338.50
  4. Step 4: Simplify right side
    164,351.25x = 116,511,971,582.25
  5. Step 5: Solve for x
    x = 116,511,971,582.25/164,351.25
  6. Step 6: Final answer
    x = 708,920.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.