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Finding the Third Proportional to 147,879 and 240,273

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Solution

The third proportional to 147,879 and 240,273 is: 390,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,879 : 240,273 = 240,273 : x
  2. Step 2: Convert to fraction form
    147,879/240,273 = 240,273/x
  3. Step 3: Cross multiply
    147,879x = 240,273 × 240,273
  4. Step 4: Simplify right side
    147,879x = 57,731,114,529
  5. Step 5: Solve for x
    x = 57,731,114,529/147,879
  6. Step 6: Final answer
    x = 390,394.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.