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Finding the Third Proportional to 82,015 and 176,483

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Solution

The third proportional to 82,015 and 176,483 is: 379,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015 : 176,483 = 176,483 : x
  2. Step 2: Convert to fraction form
    82,015/176,483 = 176,483/x
  3. Step 3: Cross multiply
    82,015x = 176,483 × 176,483
  4. Step 4: Simplify right side
    82,015x = 31,146,249,289
  5. Step 5: Solve for x
    x = 31,146,249,289/82,015
  6. Step 6: Final answer
    x = 379,762.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.