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Finding the Third Proportional to 169,795.75 and 229,782.38

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Solution

The third proportional to 169,795.75 and 229,782.38 is: 310,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,795.75 : 229,782.38 = 229,782.38 : x
  2. Step 2: Convert to fraction form
    169,795.75/229,782.38 = 229,782.38/x
  3. Step 3: Cross multiply
    169,795.75x = 229,782.38 × 229,782.38
  4. Step 4: Simplify right side
    169,795.75x = 52,799,939,860.64
  5. Step 5: Solve for x
    x = 52,799,939,860.64/169,795.75
  6. Step 6: Final answer
    x = 310,961.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.