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Finding the Third Proportional to 164,364.75 and 353,697.75

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Solution

The third proportional to 164,364.75 and 353,697.75 is: 761,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,364.75 : 353,697.75 = 353,697.75 : x
  2. Step 2: Convert to fraction form
    164,364.75/353,697.75 = 353,697.75/x
  3. Step 3: Cross multiply
    164,364.75x = 353,697.75 × 353,697.75
  4. Step 4: Simplify right side
    164,364.75x = 125,102,098,355.06
  5. Step 5: Solve for x
    x = 125,102,098,355.06/164,364.75
  6. Step 6: Final answer
    x = 761,124.87

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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.