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Finding the Third Proportional to 169,051.50 and 395,102.25

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Solution

The third proportional to 169,051.50 and 395,102.25 is: 923,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,051.50 : 395,102.25 = 395,102.25 : x
  2. Step 2: Convert to fraction form
    169,051.50/395,102.25 = 395,102.25/x
  3. Step 3: Cross multiply
    169,051.50x = 395,102.25 × 395,102.25
  4. Step 4: Simplify right side
    169,051.50x = 156,105,787,955.06
  5. Step 5: Solve for x
    x = 156,105,787,955.06/169,051.50
  6. Step 6: Final answer
    x = 923,421.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.