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Finding the Third Proportional to 175,840 and 259,896

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Solution

The third proportional to 175,840 and 259,896 is: 384,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,840 : 259,896 = 259,896 : x
  2. Step 2: Convert to fraction form
    175,840/259,896 = 259,896/x
  3. Step 3: Cross multiply
    175,840x = 259,896 × 259,896
  4. Step 4: Simplify right side
    175,840x = 67,545,930,816
  5. Step 5: Solve for x
    x = 67,545,930,816/175,840
  6. Step 6: Final answer
    x = 384,132.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.