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Finding the Third Proportional to 160,968 and 353,808

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Solution

The third proportional to 160,968 and 353,808 is: 777,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,968 : 353,808 = 353,808 : x
  2. Step 2: Convert to fraction form
    160,968/353,808 = 353,808/x
  3. Step 3: Cross multiply
    160,968x = 353,808 × 353,808
  4. Step 4: Simplify right side
    160,968x = 125,180,100,864
  5. Step 5: Solve for x
    x = 125,180,100,864/160,968
  6. Step 6: Final answer
    x = 777,670.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.