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Finding the Third Proportional to 135,302.91 and 217,409.06

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Solution

The third proportional to 135,302.91 and 217,409.06 is: 349,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,302.91 : 217,409.06 = 217,409.06 : x
  2. Step 2: Convert to fraction form
    135,302.91/217,409.06 = 217,409.06/x
  3. Step 3: Cross multiply
    135,302.91x = 217,409.06 × 217,409.06
  4. Step 4: Simplify right side
    135,302.91x = 47,266,700,457.13
  5. Step 5: Solve for x
    x = 47,266,700,457.13/135,302.91
  6. Step 6: Final answer
    x = 349,339.88

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.