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Finding the Third Proportional to 165,494 and 354,316

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Solution

The third proportional to 165,494 and 354,316 is: 758,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,494 : 354,316 = 354,316 : x
  2. Step 2: Convert to fraction form
    165,494/354,316 = 354,316/x
  3. Step 3: Cross multiply
    165,494x = 354,316 × 354,316
  4. Step 4: Simplify right side
    165,494x = 125,539,827,856
  5. Step 5: Solve for x
    x = 125,539,827,856/165,494
  6. Step 6: Final answer
    x = 758,576.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.