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Finding the Third Proportional to 200,278 and 310,002

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Solution

The third proportional to 200,278 and 310,002 is: 479,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,278 : 310,002 = 310,002 : x
  2. Step 2: Convert to fraction form
    200,278/310,002 = 310,002/x
  3. Step 3: Cross multiply
    200,278x = 310,002 × 310,002
  4. Step 4: Simplify right side
    200,278x = 96,101,240,004
  5. Step 5: Solve for x
    x = 96,101,240,004/200,278
  6. Step 6: Final answer
    x = 479,839.22

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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.