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Finding the Third Proportional to 162,779 and 338,033

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Solution

The third proportional to 162,779 and 338,033 is: 701,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,779 : 338,033 = 338,033 : x
  2. Step 2: Convert to fraction form
    162,779/338,033 = 338,033/x
  3. Step 3: Cross multiply
    162,779x = 338,033 × 338,033
  4. Step 4: Simplify right side
    162,779x = 114,266,309,089
  5. Step 5: Solve for x
    x = 114,266,309,089/162,779
  6. Step 6: Final answer
    x = 701,972.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.