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Finding the Third Proportional to 125,333 and 260,995

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Solution

The third proportional to 125,333 and 260,995 is: 543,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,333 : 260,995 = 260,995 : x
  2. Step 2: Convert to fraction form
    125,333/260,995 = 260,995/x
  3. Step 3: Cross multiply
    125,333x = 260,995 × 260,995
  4. Step 4: Simplify right side
    125,333x = 68,118,390,025
  5. Step 5: Solve for x
    x = 68,118,390,025/125,333
  6. Step 6: Final answer
    x = 543,499.24

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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.