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Finding the Third Proportional to 236,332.50 and 518,601

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Solution

The third proportional to 236,332.50 and 518,601 is: 1,138,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,332.50 : 518,601 = 518,601 : x
  2. Step 2: Convert to fraction form
    236,332.50/518,601 = 518,601/x
  3. Step 3: Cross multiply
    236,332.50x = 518,601 × 518,601
  4. Step 4: Simplify right side
    236,332.50x = 268,946,997,201
  5. Step 5: Solve for x
    x = 268,946,997,201/236,332.50
  6. Step 6: Final answer
    x = 1,138,002.59

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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.