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Finding the Third Proportional to 200,875 and 418,394

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Solution

The third proportional to 200,875 and 418,394 is: 871,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,875 : 418,394 = 418,394 : x
  2. Step 2: Convert to fraction form
    200,875/418,394 = 418,394/x
  3. Step 3: Cross multiply
    200,875x = 418,394 × 418,394
  4. Step 4: Simplify right side
    200,875x = 175,053,539,236
  5. Step 5: Solve for x
    x = 175,053,539,236/200,875
  6. Step 6: Final answer
    x = 871,455.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.