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Finding the Third Proportional to 188,946 and 288,441

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Solution

The third proportional to 188,946 and 288,441 is: 440,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,946 : 288,441 = 288,441 : x
  2. Step 2: Convert to fraction form
    188,946/288,441 = 288,441/x
  3. Step 3: Cross multiply
    188,946x = 288,441 × 288,441
  4. Step 4: Simplify right side
    188,946x = 83,198,210,481
  5. Step 5: Solve for x
    x = 83,198,210,481/188,946
  6. Step 6: Final answer
    x = 440,327.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.