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Finding the Third Proportional to 119,765 and 259,465

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Solution

The third proportional to 119,765 and 259,465 is: 562,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,765 : 259,465 = 259,465 : x
  2. Step 2: Convert to fraction form
    119,765/259,465 = 259,465/x
  3. Step 3: Cross multiply
    119,765x = 259,465 × 259,465
  4. Step 4: Simplify right side
    119,765x = 67,322,086,225
  5. Step 5: Solve for x
    x = 67,322,086,225/119,765
  6. Step 6: Final answer
    x = 562,118.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.