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Finding the Third Proportional to 135,426.94 and 292,283.44

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Solution

The third proportional to 135,426.94 and 292,283.44 is: 630,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,426.94 : 292,283.44 = 292,283.44 : x
  2. Step 2: Convert to fraction form
    135,426.94/292,283.44 = 292,283.44/x
  3. Step 3: Cross multiply
    135,426.94x = 292,283.44 × 292,283.44
  4. Step 4: Simplify right side
    135,426.94x = 85,429,607,836.82
  5. Step 5: Solve for x
    x = 85,429,607,836.82/135,426.94
  6. Step 6: Final answer
    x = 630,816.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.