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Finding the Third Proportional to 231,408 and 349,580.25

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Solution

The third proportional to 231,408 and 349,580.25 is: 528,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,408 : 349,580.25 = 349,580.25 : x
  2. Step 2: Convert to fraction form
    231,408/349,580.25 = 349,580.25/x
  3. Step 3: Cross multiply
    231,408x = 349,580.25 × 349,580.25
  4. Step 4: Simplify right side
    231,408x = 122,206,351,190.06
  5. Step 5: Solve for x
    x = 122,206,351,190.06/231,408
  6. Step 6: Final answer
    x = 528,099.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.