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Finding the Third Proportional to 89,460 and 182,804

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Solution

The third proportional to 89,460 and 182,804 is: 373,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460 : 182,804 = 182,804 : x
  2. Step 2: Convert to fraction form
    89,460/182,804 = 182,804/x
  3. Step 3: Cross multiply
    89,460x = 182,804 × 182,804
  4. Step 4: Simplify right side
    89,460x = 33,417,302,416
  5. Step 5: Solve for x
    x = 33,417,302,416/89,460
  6. Step 6: Final answer
    x = 373,544.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.