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Finding the Third Proportional to 205,280 and 426,688

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Solution

The third proportional to 205,280 and 426,688 is: 886,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,280 : 426,688 = 426,688 : x
  2. Step 2: Convert to fraction form
    205,280/426,688 = 426,688/x
  3. Step 3: Cross multiply
    205,280x = 426,688 × 426,688
  4. Step 4: Simplify right side
    205,280x = 182,062,649,344
  5. Step 5: Solve for x
    x = 182,062,649,344/205,280
  6. Step 6: Final answer
    x = 886,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.