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Finding the Third Proportional to 169,525 and 362,643.75

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Solution

The third proportional to 169,525 and 362,643.75 is: 775,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,525 : 362,643.75 = 362,643.75 : x
  2. Step 2: Convert to fraction form
    169,525/362,643.75 = 362,643.75/x
  3. Step 3: Cross multiply
    169,525x = 362,643.75 × 362,643.75
  4. Step 4: Simplify right side
    169,525x = 131,510,489,414.06
  5. Step 5: Solve for x
    x = 131,510,489,414.06/169,525
  6. Step 6: Final answer
    x = 775,758.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.