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Finding the Third Proportional to 162,008 and 332,032

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Solution

The third proportional to 162,008 and 332,032 is: 680,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,008 : 332,032 = 332,032 : x
  2. Step 2: Convert to fraction form
    162,008/332,032 = 332,032/x
  3. Step 3: Cross multiply
    162,008x = 332,032 × 332,032
  4. Step 4: Simplify right side
    162,008x = 110,245,249,024
  5. Step 5: Solve for x
    x = 110,245,249,024/162,008
  6. Step 6: Final answer
    x = 680,492.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.