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Finding the Third Proportional to 176,594.63 and 264,493.13

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Solution

The third proportional to 176,594.63 and 264,493.13 is: 396,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,594.63 : 264,493.13 = 264,493.13 : x
  2. Step 2: Convert to fraction form
    176,594.63/264,493.13 = 264,493.13/x
  3. Step 3: Cross multiply
    176,594.63x = 264,493.13 × 264,493.13
  4. Step 4: Simplify right side
    176,594.63x = 69,956,613,172.27
  5. Step 5: Solve for x
    x = 69,956,613,172.27/176,594.63
  6. Step 6: Final answer
    x = 396,142.37

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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.