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Finding the Third Proportional to 229,408 and 354,336

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Solution

The third proportional to 229,408 and 354,336 is: 547,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,408 : 354,336 = 354,336 : x
  2. Step 2: Convert to fraction form
    229,408/354,336 = 354,336/x
  3. Step 3: Cross multiply
    229,408x = 354,336 × 354,336
  4. Step 4: Simplify right side
    229,408x = 125,554,000,896
  5. Step 5: Solve for x
    x = 125,554,000,896/229,408
  6. Step 6: Final answer
    x = 547,295.65

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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.