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Finding the Third Proportional to 204,729.56 and 442,993.13

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Solution

The third proportional to 204,729.56 and 442,993.13 is: 958,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,729.56 : 442,993.13 = 442,993.13 : x
  2. Step 2: Convert to fraction form
    204,729.56/442,993.13 = 442,993.13/x
  3. Step 3: Cross multiply
    204,729.56x = 442,993.13 × 442,993.13
  4. Step 4: Simplify right side
    204,729.56x = 196,242,908,797.27
  5. Step 5: Solve for x
    x = 196,242,908,797.27/204,729.56
  6. Step 6: Final answer
    x = 958,547.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.