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Finding the Third Proportional to 134,311.22 and 294,456.09

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Solution

The third proportional to 134,311.22 and 294,456.09 is: 645,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,311.22 : 294,456.09 = 294,456.09 : x
  2. Step 2: Convert to fraction form
    134,311.22/294,456.09 = 294,456.09/x
  3. Step 3: Cross multiply
    134,311.22x = 294,456.09 × 294,456.09
  4. Step 4: Simplify right side
    134,311.22x = 86,704,391,146.51
  5. Step 5: Solve for x
    x = 86,704,391,146.51/134,311.22
  6. Step 6: Final answer
    x = 645,548.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.