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Finding the Third Proportional to 200,664 and 310,878

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Solution

The third proportional to 200,664 and 310,878 is: 481,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,664 : 310,878 = 310,878 : x
  2. Step 2: Convert to fraction form
    200,664/310,878 = 310,878/x
  3. Step 3: Cross multiply
    200,664x = 310,878 × 310,878
  4. Step 4: Simplify right side
    200,664x = 96,645,130,884
  5. Step 5: Solve for x
    x = 96,645,130,884/200,664
  6. Step 6: Final answer
    x = 481,626.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.