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Finding the Third Proportional to 143,482 and 292,796

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Solution

The third proportional to 143,482 and 292,796 is: 597,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,482 : 292,796 = 292,796 : x
  2. Step 2: Convert to fraction form
    143,482/292,796 = 292,796/x
  3. Step 3: Cross multiply
    143,482x = 292,796 × 292,796
  4. Step 4: Simplify right side
    143,482x = 85,729,497,616
  5. Step 5: Solve for x
    x = 85,729,497,616/143,482
  6. Step 6: Final answer
    x = 597,493.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.