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Finding the Third Proportional to 229,336 and 354,228

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Solution

The third proportional to 229,336 and 354,228 is: 547,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,336 : 354,228 = 354,228 : x
  2. Step 2: Convert to fraction form
    229,336/354,228 = 354,228/x
  3. Step 3: Cross multiply
    229,336x = 354,228 × 354,228
  4. Step 4: Simplify right side
    229,336x = 125,477,475,984
  5. Step 5: Solve for x
    x = 125,477,475,984/229,336
  6. Step 6: Final answer
    x = 547,133.79

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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.