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Finding the Third Proportional to 169,441.88 and 365,117.63

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Solution

The third proportional to 169,441.88 and 365,117.63 is: 786,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,441.88 : 365,117.63 = 365,117.63 : x
  2. Step 2: Convert to fraction form
    169,441.88/365,117.63 = 365,117.63/x
  3. Step 3: Cross multiply
    169,441.88x = 365,117.63 × 365,117.63
  4. Step 4: Simplify right side
    169,441.88x = 133,310,880,085.64
  5. Step 5: Solve for x
    x = 133,310,880,085.64/169,441.88
  6. Step 6: Final answer
    x = 786,764.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.