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Finding the Third Proportional to 250,161 and 510,510

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Solution

The third proportional to 250,161 and 510,510 is: 1,041,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,161 : 510,510 = 510,510 : x
  2. Step 2: Convert to fraction form
    250,161/510,510 = 510,510/x
  3. Step 3: Cross multiply
    250,161x = 510,510 × 510,510
  4. Step 4: Simplify right side
    250,161x = 260,620,460,100
  5. Step 5: Solve for x
    x = 260,620,460,100/250,161
  6. Step 6: Final answer
    x = 1,041,810.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.