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Finding the Third Proportional to 125,284 and 263,684

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Solution

The third proportional to 125,284 and 263,684 is: 554,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,284 : 263,684 = 263,684 : x
  2. Step 2: Convert to fraction form
    125,284/263,684 = 263,684/x
  3. Step 3: Cross multiply
    125,284x = 263,684 × 263,684
  4. Step 4: Simplify right side
    125,284x = 69,529,251,856
  5. Step 5: Solve for x
    x = 69,529,251,856/125,284
  6. Step 6: Final answer
    x = 554,973.12

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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.