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Finding the Third Proportional to 177,359.63 and 384,246.28

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Solution

The third proportional to 177,359.63 and 384,246.28 is: 832,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,359.63 : 384,246.28 = 384,246.28 : x
  2. Step 2: Convert to fraction form
    177,359.63/384,246.28 = 384,246.28/x
  3. Step 3: Cross multiply
    177,359.63x = 384,246.28 × 384,246.28
  4. Step 4: Simplify right side
    177,359.63x = 147,645,204,654.45
  5. Step 5: Solve for x
    x = 147,645,204,654.45/177,359.63
  6. Step 6: Final answer
    x = 832,462.32

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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.