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Finding the Third Proportional to 240,613 and 362,296

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Solution

The third proportional to 240,613 and 362,296 is: 545,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,613 : 362,296 = 362,296 : x
  2. Step 2: Convert to fraction form
    240,613/362,296 = 362,296/x
  3. Step 3: Cross multiply
    240,613x = 362,296 × 362,296
  4. Step 4: Simplify right side
    240,613x = 131,258,391,616
  5. Step 5: Solve for x
    x = 131,258,391,616/240,613
  6. Step 6: Final answer
    x = 545,516.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.