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Finding the Third Proportional to 102,352 and 220,252

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Solution

The third proportional to 102,352 and 220,252 is: 473,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352 : 220,252 = 220,252 : x
  2. Step 2: Convert to fraction form
    102,352/220,252 = 220,252/x
  3. Step 3: Cross multiply
    102,352x = 220,252 × 220,252
  4. Step 4: Simplify right side
    102,352x = 48,510,943,504
  5. Step 5: Solve for x
    x = 48,510,943,504/102,352
  6. Step 6: Final answer
    x = 473,961.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.