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Finding the Third Proportional to 136,343.81 and 292,926.94

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Solution

The third proportional to 136,343.81 and 292,926.94 is: 629,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,343.81 : 292,926.94 = 292,926.94 : x
  2. Step 2: Convert to fraction form
    136,343.81/292,926.94 = 292,926.94/x
  3. Step 3: Cross multiply
    136,343.81x = 292,926.94 × 292,926.94
  4. Step 4: Simplify right side
    136,343.81x = 85,806,190,713.13
  5. Step 5: Solve for x
    x = 85,806,190,713.13/136,343.81
  6. Step 6: Final answer
    x = 629,336.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.