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Finding the Third Proportional to 152,801.50 and 361,291.75

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Solution

The third proportional to 152,801.50 and 361,291.75 is: 854,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,801.50 : 361,291.75 = 361,291.75 : x
  2. Step 2: Convert to fraction form
    152,801.50/361,291.75 = 361,291.75/x
  3. Step 3: Cross multiply
    152,801.50x = 361,291.75 × 361,291.75
  4. Step 4: Simplify right side
    152,801.50x = 130,531,728,618.06
  5. Step 5: Solve for x
    x = 130,531,728,618.06/152,801.50
  6. Step 6: Final answer
    x = 854,256.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.