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Finding the Third Proportional to 129,679.50 and 302,892

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Solution

The third proportional to 129,679.50 and 302,892 is: 707,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,679.50 : 302,892 = 302,892 : x
  2. Step 2: Convert to fraction form
    129,679.50/302,892 = 302,892/x
  3. Step 3: Cross multiply
    129,679.50x = 302,892 × 302,892
  4. Step 4: Simplify right side
    129,679.50x = 91,743,563,664
  5. Step 5: Solve for x
    x = 91,743,563,664/129,679.50
  6. Step 6: Final answer
    x = 707,463.89

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.