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Finding the Third Proportional to 138,196.13 and 301,406.06

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Solution

The third proportional to 138,196.13 and 301,406.06 is: 657,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.13 : 301,406.06 = 301,406.06 : x
  2. Step 2: Convert to fraction form
    138,196.13/301,406.06 = 301,406.06/x
  3. Step 3: Cross multiply
    138,196.13x = 301,406.06 × 301,406.06
  4. Step 4: Simplify right side
    138,196.13x = 90,845,614,511.75
  5. Step 5: Solve for x
    x = 90,845,614,511.75/138,196.13
  6. Step 6: Final answer
    x = 657,367.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.