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Finding the Third Proportional to 231,313.75 and 345,051.75

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Solution

The third proportional to 231,313.75 and 345,051.75 is: 514,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,313.75 : 345,051.75 = 345,051.75 : x
  2. Step 2: Convert to fraction form
    231,313.75/345,051.75 = 345,051.75/x
  3. Step 3: Cross multiply
    231,313.75x = 345,051.75 × 345,051.75
  4. Step 4: Simplify right side
    231,313.75x = 119,060,710,178.06
  5. Step 5: Solve for x
    x = 119,060,710,178.06/231,313.75
  6. Step 6: Final answer
    x = 514,715.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.