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Finding the Third Proportional to 248,646 and 381,555.75

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Solution

The third proportional to 248,646 and 381,555.75 is: 585,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,646 : 381,555.75 = 381,555.75 : x
  2. Step 2: Convert to fraction form
    248,646/381,555.75 = 381,555.75/x
  3. Step 3: Cross multiply
    248,646x = 381,555.75 × 381,555.75
  4. Step 4: Simplify right side
    248,646x = 145,584,790,358.06
  5. Step 5: Solve for x
    x = 145,584,790,358.06/248,646
  6. Step 6: Final answer
    x = 585,510.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.