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Finding the Third Proportional to 229,910 and 354,706

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Solution

The third proportional to 229,910 and 354,706 is: 547,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,910 : 354,706 = 354,706 : x
  2. Step 2: Convert to fraction form
    229,910/354,706 = 354,706/x
  3. Step 3: Cross multiply
    229,910x = 354,706 × 354,706
  4. Step 4: Simplify right side
    229,910x = 125,816,346,436
  5. Step 5: Solve for x
    x = 125,816,346,436/229,910
  6. Step 6: Final answer
    x = 547,241.73

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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.