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Finding the Third Proportional to 236,644.50 and 519,216

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Solution

The third proportional to 236,644.50 and 519,216 is: 1,139,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,644.50 : 519,216 = 519,216 : x
  2. Step 2: Convert to fraction form
    236,644.50/519,216 = 519,216/x
  3. Step 3: Cross multiply
    236,644.50x = 519,216 × 519,216
  4. Step 4: Simplify right side
    236,644.50x = 269,585,254,656
  5. Step 5: Solve for x
    x = 269,585,254,656/236,644.50
  6. Step 6: Final answer
    x = 1,139,199.32

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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.