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Finding the Third Proportional to 189,544.98 and 288,209.87

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Solution

The third proportional to 189,544.98 and 288,209.87 is: 438,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,544.98 : 288,209.87 = 288,209.87 : x
  2. Step 2: Convert to fraction form
    189,544.98/288,209.87 = 288,209.87/x
  3. Step 3: Cross multiply
    189,544.98x = 288,209.87 × 288,209.87
  4. Step 4: Simplify right side
    189,544.98x = 83,064,926,418.42
  5. Step 5: Solve for x
    x = 83,064,926,418.42/189,544.98
  6. Step 6: Final answer
    x = 438,233.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.