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Finding the Third Proportional to 250,292 and 536,197

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Solution

The third proportional to 250,292 and 536,197 is: 1,148,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,292 : 536,197 = 536,197 : x
  2. Step 2: Convert to fraction form
    250,292/536,197 = 536,197/x
  3. Step 3: Cross multiply
    250,292x = 536,197 × 536,197
  4. Step 4: Simplify right side
    250,292x = 287,507,222,809
  5. Step 5: Solve for x
    x = 287,507,222,809/250,292
  6. Step 6: Final answer
    x = 1,148,687.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.