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Finding the Third Proportional to 168,804 and 243,486

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Solution

The third proportional to 168,804 and 243,486 is: 351,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,804 : 243,486 = 243,486 : x
  2. Step 2: Convert to fraction form
    168,804/243,486 = 243,486/x
  3. Step 3: Cross multiply
    168,804x = 243,486 × 243,486
  4. Step 4: Simplify right side
    168,804x = 59,285,432,196
  5. Step 5: Solve for x
    x = 59,285,432,196/168,804
  6. Step 6: Final answer
    x = 351,208.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.