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Finding the Third Proportional to 105,556.50 and 232,713

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Solution

The third proportional to 105,556.50 and 232,713 is: 513,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,556.50 : 232,713 = 232,713 : x
  2. Step 2: Convert to fraction form
    105,556.50/232,713 = 232,713/x
  3. Step 3: Cross multiply
    105,556.50x = 232,713 × 232,713
  4. Step 4: Simplify right side
    105,556.50x = 54,155,340,369
  5. Step 5: Solve for x
    x = 54,155,340,369/105,556.50
  6. Step 6: Final answer
    x = 513,046.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.