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Finding the Third Proportional to 201,633.75 and 297,852.75

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Solution

The third proportional to 201,633.75 and 297,852.75 is: 439,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,633.75 : 297,852.75 = 297,852.75 : x
  2. Step 2: Convert to fraction form
    201,633.75/297,852.75 = 297,852.75/x
  3. Step 3: Cross multiply
    201,633.75x = 297,852.75 × 297,852.75
  4. Step 4: Simplify right side
    201,633.75x = 88,716,260,682.56
  5. Step 5: Solve for x
    x = 88,716,260,682.56/201,633.75
  6. Step 6: Final answer
    x = 439,987.16

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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.