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Finding the Third Proportional to 281,290 and 375,756

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Solution

The third proportional to 281,290 and 375,756 is: 501,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,290 : 375,756 = 375,756 : x
  2. Step 2: Convert to fraction form
    281,290/375,756 = 375,756/x
  3. Step 3: Cross multiply
    281,290x = 375,756 × 375,756
  4. Step 4: Simplify right side
    281,290x = 141,192,571,536
  5. Step 5: Solve for x
    x = 141,192,571,536/281,290
  6. Step 6: Final answer
    x = 501,946.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.