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Finding the Third Proportional to 178,528 and 269,620

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Solution

The third proportional to 178,528 and 269,620 is: 407,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,528 : 269,620 = 269,620 : x
  2. Step 2: Convert to fraction form
    178,528/269,620 = 269,620/x
  3. Step 3: Cross multiply
    178,528x = 269,620 × 269,620
  4. Step 4: Simplify right side
    178,528x = 72,694,944,400
  5. Step 5: Solve for x
    x = 72,694,944,400/178,528
  6. Step 6: Final answer
    x = 407,190.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.