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Finding the Third Proportional to 202,771.13 and 418,394.25

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Solution

The third proportional to 202,771.13 and 418,394.25 is: 863,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,771.13 : 418,394.25 = 418,394.25 : x
  2. Step 2: Convert to fraction form
    202,771.13/418,394.25 = 418,394.25/x
  3. Step 3: Cross multiply
    202,771.13x = 418,394.25 × 418,394.25
  4. Step 4: Simplify right side
    202,771.13x = 175,053,748,433.06
  5. Step 5: Solve for x
    x = 175,053,748,433.06/202,771.13
  6. Step 6: Final answer
    x = 863,307.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.