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Finding the Third Proportional to 100,597 and 218,495

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Solution

The third proportional to 100,597 and 218,495 is: 474,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597 : 218,495 = 218,495 : x
  2. Step 2: Convert to fraction form
    100,597/218,495 = 218,495/x
  3. Step 3: Cross multiply
    100,597x = 218,495 × 218,495
  4. Step 4: Simplify right side
    100,597x = 47,740,065,025
  5. Step 5: Solve for x
    x = 47,740,065,025/100,597
  6. Step 6: Final answer
    x = 474,567.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.