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Finding the Third Proportional to 236,535.75 and 532,287

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Solution

The third proportional to 236,535.75 and 532,287 is: 1,197,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,535.75 : 532,287 = 532,287 : x
  2. Step 2: Convert to fraction form
    236,535.75/532,287 = 532,287/x
  3. Step 3: Cross multiply
    236,535.75x = 532,287 × 532,287
  4. Step 4: Simplify right side
    236,535.75x = 283,329,450,369
  5. Step 5: Solve for x
    x = 283,329,450,369/236,535.75
  6. Step 6: Final answer
    x = 1,197,829.29

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.