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Finding the Third Proportional to 116,589.38 and 257,681.25

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Solution

The third proportional to 116,589.38 and 257,681.25 is: 569,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,589.38 : 257,681.25 = 257,681.25 : x
  2. Step 2: Convert to fraction form
    116,589.38/257,681.25 = 257,681.25/x
  3. Step 3: Cross multiply
    116,589.38x = 257,681.25 × 257,681.25
  4. Step 4: Simplify right side
    116,589.38x = 66,399,626,601.56
  5. Step 5: Solve for x
    x = 66,399,626,601.56/116,589.38
  6. Step 6: Final answer
    x = 569,516.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.