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Finding the Third Proportional to 125,258 and 260,860

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Solution

The third proportional to 125,258 and 260,860 is: 543,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,258 : 260,860 = 260,860 : x
  2. Step 2: Convert to fraction form
    125,258/260,860 = 260,860/x
  3. Step 3: Cross multiply
    125,258x = 260,860 × 260,860
  4. Step 4: Simplify right side
    125,258x = 68,047,939,600
  5. Step 5: Solve for x
    x = 68,047,939,600/125,258
  6. Step 6: Final answer
    x = 543,262.22

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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.