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Finding the Third Proportional to 120,455 and 259,409

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Solution

The third proportional to 120,455 and 259,409 is: 558,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,455 : 259,409 = 259,409 : x
  2. Step 2: Convert to fraction form
    120,455/259,409 = 259,409/x
  3. Step 3: Cross multiply
    120,455x = 259,409 × 259,409
  4. Step 4: Simplify right side
    120,455x = 67,293,029,281
  5. Step 5: Solve for x
    x = 67,293,029,281/120,455
  6. Step 6: Final answer
    x = 558,657.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.