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Finding the Third Proportional to 147,236 and 223,590

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Solution

The third proportional to 147,236 and 223,590 is: 339,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,236 : 223,590 = 223,590 : x
  2. Step 2: Convert to fraction form
    147,236/223,590 = 223,590/x
  3. Step 3: Cross multiply
    147,236x = 223,590 × 223,590
  4. Step 4: Simplify right side
    147,236x = 49,992,488,100
  5. Step 5: Solve for x
    x = 49,992,488,100/147,236
  6. Step 6: Final answer
    x = 339,539.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.