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Finding the Third Proportional to 170,770.50 and 254,769

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Solution

The third proportional to 170,770.50 and 254,769 is: 380,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,770.50 : 254,769 = 254,769 : x
  2. Step 2: Convert to fraction form
    170,770.50/254,769 = 254,769/x
  3. Step 3: Cross multiply
    170,770.50x = 254,769 × 254,769
  4. Step 4: Simplify right side
    170,770.50x = 64,907,243,361
  5. Step 5: Solve for x
    x = 64,907,243,361/170,770.50
  6. Step 6: Final answer
    x = 380,084.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.