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Finding the Third Proportional to 117,284 and 246,088

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Solution

The third proportional to 117,284 and 246,088 is: 516,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284 : 246,088 = 246,088 : x
  2. Step 2: Convert to fraction form
    117,284/246,088 = 246,088/x
  3. Step 3: Cross multiply
    117,284x = 246,088 × 246,088
  4. Step 4: Simplify right side
    117,284x = 60,559,303,744
  5. Step 5: Solve for x
    x = 60,559,303,744/117,284
  6. Step 6: Final answer
    x = 516,347.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.