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Finding the Third Proportional to 74,495 and 162,917

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Solution

The third proportional to 74,495 and 162,917 is: 356,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,495 : 162,917 = 162,917 : x
  2. Step 2: Convert to fraction form
    74,495/162,917 = 162,917/x
  3. Step 3: Cross multiply
    74,495x = 162,917 × 162,917
  4. Step 4: Simplify right side
    74,495x = 26,541,948,889
  5. Step 5: Solve for x
    x = 26,541,948,889/74,495
  6. Step 6: Final answer
    x = 356,291.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.