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Finding the Third Proportional to 164,232 and 354,100

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Solution

The third proportional to 164,232 and 354,100 is: 763,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,232 : 354,100 = 354,100 : x
  2. Step 2: Convert to fraction form
    164,232/354,100 = 354,100/x
  3. Step 3: Cross multiply
    164,232x = 354,100 × 354,100
  4. Step 4: Simplify right side
    164,232x = 125,386,810,000
  5. Step 5: Solve for x
    x = 125,386,810,000/164,232
  6. Step 6: Final answer
    x = 763,473.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.