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Finding the Third Proportional to 203,269.50 and 297,614.25

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Solution

The third proportional to 203,269.50 and 297,614.25 is: 435,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,269.50 : 297,614.25 = 297,614.25 : x
  2. Step 2: Convert to fraction form
    203,269.50/297,614.25 = 297,614.25/x
  3. Step 3: Cross multiply
    203,269.50x = 297,614.25 × 297,614.25
  4. Step 4: Simplify right side
    203,269.50x = 88,574,241,803.06
  5. Step 5: Solve for x
    x = 88,574,241,803.06/203,269.50
  6. Step 6: Final answer
    x = 435,747.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.