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Finding the Third Proportional to 178,524 and 370,170

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Solution

The third proportional to 178,524 and 370,170 is: 767,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,524 : 370,170 = 370,170 : x
  2. Step 2: Convert to fraction form
    178,524/370,170 = 370,170/x
  3. Step 3: Cross multiply
    178,524x = 370,170 × 370,170
  4. Step 4: Simplify right side
    178,524x = 137,025,828,900
  5. Step 5: Solve for x
    x = 137,025,828,900/178,524
  6. Step 6: Final answer
    x = 767,548.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.