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Finding the Third Proportional to 213,087.38 and 433,518.75

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Solution

The third proportional to 213,087.38 and 433,518.75 is: 881,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,087.38 : 433,518.75 = 433,518.75 : x
  2. Step 2: Convert to fraction form
    213,087.38/433,518.75 = 433,518.75/x
  3. Step 3: Cross multiply
    213,087.38x = 433,518.75 × 433,518.75
  4. Step 4: Simplify right side
    213,087.38x = 187,938,506,601.56
  5. Step 5: Solve for x
    x = 187,938,506,601.56/213,087.38
  6. Step 6: Final answer
    x = 881,978.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.