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Finding the Third Proportional to 213,733.05 and 333,539.33

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Solution

The third proportional to 213,733.05 and 333,539.33 is: 520,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,733.05 : 333,539.33 = 333,539.33 : x
  2. Step 2: Convert to fraction form
    213,733.05/333,539.33 = 333,539.33/x
  3. Step 3: Cross multiply
    213,733.05x = 333,539.33 × 333,539.33
  4. Step 4: Simplify right side
    213,733.05x = 111,248,486,011.85
  5. Step 5: Solve for x
    x = 111,248,486,011.85/213,733.05
  6. Step 6: Final answer
    x = 520,502.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.