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Finding the Third Proportional to 164,419.75 and 353,793.50

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Solution

The third proportional to 164,419.75 and 353,793.50 is: 761,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,419.75 : 353,793.50 = 353,793.50 : x
  2. Step 2: Convert to fraction form
    164,419.75/353,793.50 = 353,793.50/x
  3. Step 3: Cross multiply
    164,419.75x = 353,793.50 × 353,793.50
  4. Step 4: Simplify right side
    164,419.75x = 125,169,840,642.25
  5. Step 5: Solve for x
    x = 125,169,840,642.25/164,419.75
  6. Step 6: Final answer
    x = 761,282.27

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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.