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Finding the Third Proportional to 164,675.25 and 354,316.50

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Solution

The third proportional to 164,675.25 and 354,316.50 is: 762,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,675.25 : 354,316.50 = 354,316.50 : x
  2. Step 2: Convert to fraction form
    164,675.25/354,316.50 = 354,316.50/x
  3. Step 3: Cross multiply
    164,675.25x = 354,316.50 × 354,316.50
  4. Step 4: Simplify right side
    164,675.25x = 125,540,182,172.25
  5. Step 5: Solve for x
    x = 125,540,182,172.25/164,675.25
  6. Step 6: Final answer
    x = 762,350.03

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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.