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Finding the Third Proportional to 169,273.50 and 257,234.50

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Solution

The third proportional to 169,273.50 and 257,234.50 is: 390,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,273.50 : 257,234.50 = 257,234.50 : x
  2. Step 2: Convert to fraction form
    169,273.50/257,234.50 = 257,234.50/x
  3. Step 3: Cross multiply
    169,273.50x = 257,234.50 × 257,234.50
  4. Step 4: Simplify right side
    169,273.50x = 66,169,587,990.25
  5. Step 5: Solve for x
    x = 66,169,587,990.25/169,273.50
  6. Step 6: Final answer
    x = 390,903.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.