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Finding the Third Proportional to 236,656.50 and 509,398

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Solution

The third proportional to 236,656.50 and 509,398 is: 1,096,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,656.50 : 509,398 = 509,398 : x
  2. Step 2: Convert to fraction form
    236,656.50/509,398 = 509,398/x
  3. Step 3: Cross multiply
    236,656.50x = 509,398 × 509,398
  4. Step 4: Simplify right side
    236,656.50x = 259,486,322,404
  5. Step 5: Solve for x
    x = 259,486,322,404/236,656.50
  6. Step 6: Final answer
    x = 1,096,468.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.