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Finding the Third Proportional to 178,688 and 486,080

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Solution

The third proportional to 178,688 and 486,080 is: 1,322,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,688 : 486,080 = 486,080 : x
  2. Step 2: Convert to fraction form
    178,688/486,080 = 486,080/x
  3. Step 3: Cross multiply
    178,688x = 486,080 × 486,080
  4. Step 4: Simplify right side
    178,688x = 236,273,766,400
  5. Step 5: Solve for x
    x = 236,273,766,400/178,688
  6. Step 6: Final answer
    x = 1,322,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.