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Finding the Third Proportional to 229,168 and 354,120

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Solution

The third proportional to 229,168 and 354,120 is: 547,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,168 : 354,120 = 354,120 : x
  2. Step 2: Convert to fraction form
    229,168/354,120 = 354,120/x
  3. Step 3: Cross multiply
    229,168x = 354,120 × 354,120
  4. Step 4: Simplify right side
    229,168x = 125,400,974,400
  5. Step 5: Solve for x
    x = 125,400,974,400/229,168
  6. Step 6: Final answer
    x = 547,201.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.