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Finding the Third Proportional to 189,140.63 and 292,847.25

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Solution

The third proportional to 189,140.63 and 292,847.25 is: 453,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,140.63 : 292,847.25 = 292,847.25 : x
  2. Step 2: Convert to fraction form
    189,140.63/292,847.25 = 292,847.25/x
  3. Step 3: Cross multiply
    189,140.63x = 292,847.25 × 292,847.25
  4. Step 4: Simplify right side
    189,140.63x = 85,759,511,832.56
  5. Step 5: Solve for x
    x = 85,759,511,832.56/189,140.63
  6. Step 6: Final answer
    x = 453,416.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.