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Finding the Third Proportional to 125,280 and 263,676

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Solution

The third proportional to 125,280 and 263,676 is: 554,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,280 : 263,676 = 263,676 : x
  2. Step 2: Convert to fraction form
    125,280/263,676 = 263,676/x
  3. Step 3: Cross multiply
    125,280x = 263,676 × 263,676
  4. Step 4: Simplify right side
    125,280x = 69,525,032,976
  5. Step 5: Solve for x
    x = 69,525,032,976/125,280
  6. Step 6: Final answer
    x = 554,957.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.