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Finding the Third Proportional to 165,770.50 and 357,749

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Solution

The third proportional to 165,770.50 and 357,749 is: 772,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770.50 : 357,749 = 357,749 : x
  2. Step 2: Convert to fraction form
    165,770.50/357,749 = 357,749/x
  3. Step 3: Cross multiply
    165,770.50x = 357,749 × 357,749
  4. Step 4: Simplify right side
    165,770.50x = 127,984,347,001
  5. Step 5: Solve for x
    x = 127,984,347,001/165,770.50
  6. Step 6: Final answer
    x = 772,057.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.