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Finding the Third Proportional to 77,357 and 168,804

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Solution

The third proportional to 77,357 and 168,804 is: 368,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357 : 168,804 = 168,804 : x
  2. Step 2: Convert to fraction form
    77,357/168,804 = 168,804/x
  3. Step 3: Cross multiply
    77,357x = 168,804 × 168,804
  4. Step 4: Simplify right side
    77,357x = 28,494,790,416
  5. Step 5: Solve for x
    x = 28,494,790,416/77,357
  6. Step 6: Final answer
    x = 368,354.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.