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Finding the Third Proportional to 100,294 and 213,584

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Solution

The third proportional to 100,294 and 213,584 is: 454,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294 : 213,584 = 213,584 : x
  2. Step 2: Convert to fraction form
    100,294/213,584 = 213,584/x
  3. Step 3: Cross multiply
    100,294x = 213,584 × 213,584
  4. Step 4: Simplify right side
    100,294x = 45,618,125,056
  5. Step 5: Solve for x
    x = 45,618,125,056/100,294
  6. Step 6: Final answer
    x = 454,844.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.