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Finding the Third Proportional to 229,190 and 343,893

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Solution

The third proportional to 229,190 and 343,893 is: 516,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,190 : 343,893 = 343,893 : x
  2. Step 2: Convert to fraction form
    229,190/343,893 = 343,893/x
  3. Step 3: Cross multiply
    229,190x = 343,893 × 343,893
  4. Step 4: Simplify right side
    229,190x = 118,262,395,449
  5. Step 5: Solve for x
    x = 118,262,395,449/229,190
  6. Step 6: Final answer
    x = 516,001.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.