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Finding the Third Proportional to 164,261.25 and 353,065.50

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Solution

The third proportional to 164,261.25 and 353,065.50 is: 758,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,261.25 : 353,065.50 = 353,065.50 : x
  2. Step 2: Convert to fraction form
    164,261.25/353,065.50 = 353,065.50/x
  3. Step 3: Cross multiply
    164,261.25x = 353,065.50 × 353,065.50
  4. Step 4: Simplify right side
    164,261.25x = 124,655,247,290.25
  5. Step 5: Solve for x
    x = 124,655,247,290.25/164,261.25
  6. Step 6: Final answer
    x = 758,884.08

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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.