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Finding the Third Proportional to 164,430 and 353,808

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Solution

The third proportional to 164,430 and 353,808 is: 761,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,430 : 353,808 = 353,808 : x
  2. Step 2: Convert to fraction form
    164,430/353,808 = 353,808/x
  3. Step 3: Cross multiply
    164,430x = 353,808 × 353,808
  4. Step 4: Simplify right side
    164,430x = 125,180,100,864
  5. Step 5: Solve for x
    x = 125,180,100,864/164,430
  6. Step 6: Final answer
    x = 761,297.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.