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Finding the Third Proportional to 230,948 and 347,102

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Solution

The third proportional to 230,948 and 347,102 is: 521,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,948 : 347,102 = 347,102 : x
  2. Step 2: Convert to fraction form
    230,948/347,102 = 347,102/x
  3. Step 3: Cross multiply
    230,948x = 347,102 × 347,102
  4. Step 4: Simplify right side
    230,948x = 120,479,798,404
  5. Step 5: Solve for x
    x = 120,479,798,404/230,948
  6. Step 6: Final answer
    x = 521,675.00

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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.