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Finding the Third Proportional to 229,996.13 and 349,143.75

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Solution

The third proportional to 229,996.13 and 349,143.75 is: 530,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,996.13 : 349,143.75 = 349,143.75 : x
  2. Step 2: Convert to fraction form
    229,996.13/349,143.75 = 349,143.75/x
  3. Step 3: Cross multiply
    229,996.13x = 349,143.75 × 349,143.75
  4. Step 4: Simplify right side
    229,996.13x = 121,901,358,164.06
  5. Step 5: Solve for x
    x = 121,901,358,164.06/229,996.13
  6. Step 6: Final answer
    x = 530,014.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.