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Finding the Third Proportional to 169,247.81 and 364,944.66

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Solution

The third proportional to 169,247.81 and 364,944.66 is: 786,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,247.81 : 364,944.66 = 364,944.66 : x
  2. Step 2: Convert to fraction form
    169,247.81/364,944.66 = 364,944.66/x
  3. Step 3: Cross multiply
    169,247.81x = 364,944.66 × 364,944.66
  4. Step 4: Simplify right side
    169,247.81x = 133,184,602,125.43
  5. Step 5: Solve for x
    x = 133,184,602,125.43/169,247.81
  6. Step 6: Final answer
    x = 786,920.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.