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Finding the Third Proportional to 193,175.63 and 418,508.25

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Solution

The third proportional to 193,175.63 and 418,508.25 is: 906,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,175.63 : 418,508.25 = 418,508.25 : x
  2. Step 2: Convert to fraction form
    193,175.63/418,508.25 = 418,508.25/x
  3. Step 3: Cross multiply
    193,175.63x = 418,508.25 × 418,508.25
  4. Step 4: Simplify right side
    193,175.63x = 175,149,155,318.06
  5. Step 5: Solve for x
    x = 175,149,155,318.06/193,175.63
  6. Step 6: Final answer
    x = 906,683.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.