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Finding the Third Proportional to 166,758.75 and 370,820.37

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Solution

The third proportional to 166,758.75 and 370,820.37 is: 824,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,758.75 : 370,820.37 = 370,820.37 : x
  2. Step 2: Convert to fraction form
    166,758.75/370,820.37 = 370,820.37/x
  3. Step 3: Cross multiply
    166,758.75x = 370,820.37 × 370,820.37
  4. Step 4: Simplify right side
    166,758.75x = 137,507,749,066.63
  5. Step 5: Solve for x
    x = 137,507,749,066.63/166,758.75
  6. Step 6: Final answer
    x = 824,590.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.