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Finding the Third Proportional to 177,313.22 and 384,767.72

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Solution

The third proportional to 177,313.22 and 384,767.72 is: 834,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,313.22 : 384,767.72 = 384,767.72 : x
  2. Step 2: Convert to fraction form
    177,313.22/384,767.72 = 384,767.72/x
  3. Step 3: Cross multiply
    177,313.22x = 384,767.72 × 384,767.72
  4. Step 4: Simplify right side
    177,313.22x = 148,046,197,392.08
  5. Step 5: Solve for x
    x = 148,046,197,392.08/177,313.22
  6. Step 6: Final answer
    x = 834,941.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.