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Finding the Third Proportional to 81,798 and 176,483

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Solution

The third proportional to 81,798 and 176,483 is: 380,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,798 : 176,483 = 176,483 : x
  2. Step 2: Convert to fraction form
    81,798/176,483 = 176,483/x
  3. Step 3: Cross multiply
    81,798x = 176,483 × 176,483
  4. Step 4: Simplify right side
    81,798x = 31,146,249,289
  5. Step 5: Solve for x
    x = 31,146,249,289/81,798
  6. Step 6: Final answer
    x = 380,770.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.