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Finding the Third Proportional to 115,006 and 243,679

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Solution

The third proportional to 115,006 and 243,679 is: 516,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,006 : 243,679 = 243,679 : x
  2. Step 2: Convert to fraction form
    115,006/243,679 = 243,679/x
  3. Step 3: Cross multiply
    115,006x = 243,679 × 243,679
  4. Step 4: Simplify right side
    115,006x = 59,379,455,041
  5. Step 5: Solve for x
    x = 59,379,455,041/115,006
  6. Step 6: Final answer
    x = 516,316.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.