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Finding the Third Proportional to 170,710 and 263,764.50

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Solution

The third proportional to 170,710 and 263,764.50 is: 407,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,710 : 263,764.50 = 263,764.50 : x
  2. Step 2: Convert to fraction form
    170,710/263,764.50 = 263,764.50/x
  3. Step 3: Cross multiply
    170,710x = 263,764.50 × 263,764.50
  4. Step 4: Simplify right side
    170,710x = 69,571,711,460.25
  5. Step 5: Solve for x
    x = 69,571,711,460.25/170,710
  6. Step 6: Final answer
    x = 407,543.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.