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Finding the Third Proportional to 144,346 and 217,156

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Solution

The third proportional to 144,346 and 217,156 is: 326,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,346 : 217,156 = 217,156 : x
  2. Step 2: Convert to fraction form
    144,346/217,156 = 217,156/x
  3. Step 3: Cross multiply
    144,346x = 217,156 × 217,156
  4. Step 4: Simplify right side
    144,346x = 47,156,728,336
  5. Step 5: Solve for x
    x = 47,156,728,336/144,346
  6. Step 6: Final answer
    x = 326,692.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.