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Finding the Third Proportional to 229,455 and 337,429

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Solution

The third proportional to 229,455 and 337,429 is: 496,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,455 : 337,429 = 337,429 : x
  2. Step 2: Convert to fraction form
    229,455/337,429 = 337,429/x
  3. Step 3: Cross multiply
    229,455x = 337,429 × 337,429
  4. Step 4: Simplify right side
    229,455x = 113,858,330,041
  5. Step 5: Solve for x
    x = 113,858,330,041/229,455
  6. Step 6: Final answer
    x = 496,212.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.