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Finding the Third Proportional to 200,920.50 and 293,645.25

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Solution

The third proportional to 200,920.50 and 293,645.25 is: 429,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.50 : 293,645.25 = 293,645.25 : x
  2. Step 2: Convert to fraction form
    200,920.50/293,645.25 = 293,645.25/x
  3. Step 3: Cross multiply
    200,920.50x = 293,645.25 × 293,645.25
  4. Step 4: Simplify right side
    200,920.50x = 86,227,532,847.56
  5. Step 5: Solve for x
    x = 86,227,532,847.56/200,920.50
  6. Step 6: Final answer
    x = 429,162.44

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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.