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Finding the Third Proportional to 253,425.38 and 354,304.13

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Solution

The third proportional to 253,425.38 and 354,304.13 is: 495,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,425.38 : 354,304.13 = 354,304.13 : x
  2. Step 2: Convert to fraction form
    253,425.38/354,304.13 = 354,304.13/x
  3. Step 3: Cross multiply
    253,425.38x = 354,304.13 × 354,304.13
  4. Step 4: Simplify right side
    253,425.38x = 125,531,412,992.02
  5. Step 5: Solve for x
    x = 125,531,412,992.02/253,425.38
  6. Step 6: Final answer
    x = 495,338.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.