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Finding the Third Proportional to 81,816 and 176,511

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Solution

The third proportional to 81,816 and 176,511 is: 380,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816 : 176,511 = 176,511 : x
  2. Step 2: Convert to fraction form
    81,816/176,511 = 176,511/x
  3. Step 3: Cross multiply
    81,816x = 176,511 × 176,511
  4. Step 4: Simplify right side
    81,816x = 31,156,133,121
  5. Step 5: Solve for x
    x = 31,156,133,121/81,816
  6. Step 6: Final answer
    x = 380,807.34

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Why These Related Problems?

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