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Finding the Third Proportional to 162,804 and 247,338

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Solution

The third proportional to 162,804 and 247,338 is: 375,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,804 : 247,338 = 247,338 : x
  2. Step 2: Convert to fraction form
    162,804/247,338 = 247,338/x
  3. Step 3: Cross multiply
    162,804x = 247,338 × 247,338
  4. Step 4: Simplify right side
    162,804x = 61,176,086,244
  5. Step 5: Solve for x
    x = 61,176,086,244/162,804
  6. Step 6: Final answer
    x = 375,765.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.