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Finding the Third Proportional to 170,820 and 255,438

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Solution

The third proportional to 170,820 and 255,438 is: 381,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,820 : 255,438 = 255,438 : x
  2. Step 2: Convert to fraction form
    170,820/255,438 = 255,438/x
  3. Step 3: Cross multiply
    170,820x = 255,438 × 255,438
  4. Step 4: Simplify right side
    170,820x = 65,248,571,844
  5. Step 5: Solve for x
    x = 65,248,571,844/170,820
  6. Step 6: Final answer
    x = 381,972.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.