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Finding the Third Proportional to 178,528 and 244,800

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Solution

The third proportional to 178,528 and 244,800 is: 335,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,528 : 244,800 = 244,800 : x
  2. Step 2: Convert to fraction form
    178,528/244,800 = 244,800/x
  3. Step 3: Cross multiply
    178,528x = 244,800 × 244,800
  4. Step 4: Simplify right side
    178,528x = 59,927,040,000
  5. Step 5: Solve for x
    x = 59,927,040,000/178,528
  6. Step 6: Final answer
    x = 335,673.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.