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Finding the Third Proportional to 170,460 and 255,582

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Solution

The third proportional to 170,460 and 255,582 is: 383,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,460 : 255,582 = 255,582 : x
  2. Step 2: Convert to fraction form
    170,460/255,582 = 255,582/x
  3. Step 3: Cross multiply
    170,460x = 255,582 × 255,582
  4. Step 4: Simplify right side
    170,460x = 65,322,158,724
  5. Step 5: Solve for x
    x = 65,322,158,724/170,460
  6. Step 6: Final answer
    x = 383,211.07

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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.