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Finding the Third Proportional to 164,396.25 and 353,360.25

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Solution

The third proportional to 164,396.25 and 353,360.25 is: 759,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,396.25 : 353,360.25 = 353,360.25 : x
  2. Step 2: Convert to fraction form
    164,396.25/353,360.25 = 353,360.25/x
  3. Step 3: Cross multiply
    164,396.25x = 353,360.25 × 353,360.25
  4. Step 4: Simplify right side
    164,396.25x = 124,863,466,280.06
  5. Step 5: Solve for x
    x = 124,863,466,280.06/164,396.25
  6. Step 6: Final answer
    x = 759,527.46

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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.