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Finding the Third Proportional to 96,084 and 224,426

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Solution

The third proportional to 96,084 and 224,426 is: 524,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,084 : 224,426 = 224,426 : x
  2. Step 2: Convert to fraction form
    96,084/224,426 = 224,426/x
  3. Step 3: Cross multiply
    96,084x = 224,426 × 224,426
  4. Step 4: Simplify right side
    96,084x = 50,367,029,476
  5. Step 5: Solve for x
    x = 50,367,029,476/96,084
  6. Step 6: Final answer
    x = 524,197.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.