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Finding the Third Proportional to 169,378.59 and 254,090.67

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Solution

The third proportional to 169,378.59 and 254,090.67 is: 381,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378.59 : 254,090.67 = 254,090.67 : x
  2. Step 2: Convert to fraction form
    169,378.59/254,090.67 = 254,090.67/x
  3. Step 3: Cross multiply
    169,378.59x = 254,090.67 × 254,090.67
  4. Step 4: Simplify right side
    169,378.59x = 64,562,069,533.89
  5. Step 5: Solve for x
    x = 64,562,069,533.89/169,378.59
  6. Step 6: Final answer
    x = 381,170.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.