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Finding the Third Proportional to 215,022.09 and 341,602.31

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Solution

The third proportional to 215,022.09 and 341,602.31 is: 542,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,022.09 : 341,602.31 = 341,602.31 : x
  2. Step 2: Convert to fraction form
    215,022.09/341,602.31 = 341,602.31/x
  3. Step 3: Cross multiply
    215,022.09x = 341,602.31 × 341,602.31
  4. Step 4: Simplify right side
    215,022.09x = 116,692,139,905.35
  5. Step 5: Solve for x
    x = 116,692,139,905.35/215,022.09
  6. Step 6: Final answer
    x = 542,698.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.