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Finding the Third Proportional to 162,324 and 353,808

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Solution

The third proportional to 162,324 and 353,808 is: 771,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,324 : 353,808 = 353,808 : x
  2. Step 2: Convert to fraction form
    162,324/353,808 = 353,808/x
  3. Step 3: Cross multiply
    162,324x = 353,808 × 353,808
  4. Step 4: Simplify right side
    162,324x = 125,180,100,864
  5. Step 5: Solve for x
    x = 125,180,100,864/162,324
  6. Step 6: Final answer
    x = 771,174.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.