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Finding the Third Proportional to 115,825.50 and 253,794.38

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Solution

The third proportional to 115,825.50 and 253,794.38 is: 556,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,825.50 : 253,794.38 = 253,794.38 : x
  2. Step 2: Convert to fraction form
    115,825.50/253,794.38 = 253,794.38/x
  3. Step 3: Cross multiply
    115,825.50x = 253,794.38 × 253,794.38
  4. Step 4: Simplify right side
    115,825.50x = 64,411,584,781.64
  5. Step 5: Solve for x
    x = 64,411,584,781.64/115,825.50
  6. Step 6: Final answer
    x = 556,108.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.