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Finding the Third Proportional to 154,326 and 231,898.50

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Solution

The third proportional to 154,326 and 231,898.50 is: 348,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,326 : 231,898.50 = 231,898.50 : x
  2. Step 2: Convert to fraction form
    154,326/231,898.50 = 231,898.50/x
  3. Step 3: Cross multiply
    154,326x = 231,898.50 × 231,898.50
  4. Step 4: Simplify right side
    154,326x = 53,776,914,302.25
  5. Step 5: Solve for x
    x = 53,776,914,302.25/154,326
  6. Step 6: Final answer
    x = 348,463.09

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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.