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Finding the Third Proportional to 229,326 and 354,214

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Solution

The third proportional to 229,326 and 354,214 is: 547,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,326 : 354,214 = 354,214 : x
  2. Step 2: Convert to fraction form
    229,326/354,214 = 354,214/x
  3. Step 3: Cross multiply
    229,326x = 354,214 × 354,214
  4. Step 4: Simplify right side
    229,326x = 125,467,557,796
  5. Step 5: Solve for x
    x = 125,467,557,796/229,326
  6. Step 6: Final answer
    x = 547,114.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.