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Finding the Third Proportional to 193,389 and 415,345.50

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Solution

The third proportional to 193,389 and 415,345.50 is: 892,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,389 : 415,345.50 = 415,345.50 : x
  2. Step 2: Convert to fraction form
    193,389/415,345.50 = 415,345.50/x
  3. Step 3: Cross multiply
    193,389x = 415,345.50 × 415,345.50
  4. Step 4: Simplify right side
    193,389x = 172,511,884,370.25
  5. Step 5: Solve for x
    x = 172,511,884,370.25/193,389
  6. Step 6: Final answer
    x = 892,046.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.