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Finding the Third Proportional to 115,425 and 246,159

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Solution

The third proportional to 115,425 and 246,159 is: 524,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,425 : 246,159 = 246,159 : x
  2. Step 2: Convert to fraction form
    115,425/246,159 = 246,159/x
  3. Step 3: Cross multiply
    115,425x = 246,159 × 246,159
  4. Step 4: Simplify right side
    115,425x = 60,594,253,281
  5. Step 5: Solve for x
    x = 60,594,253,281/115,425
  6. Step 6: Final answer
    x = 524,966.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.