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Finding the Third Proportional to 175,693.25 and 385,244.50

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Solution

The third proportional to 175,693.25 and 385,244.50 is: 844,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,693.25 : 385,244.50 = 385,244.50 : x
  2. Step 2: Convert to fraction form
    175,693.25/385,244.50 = 385,244.50/x
  3. Step 3: Cross multiply
    175,693.25x = 385,244.50 × 385,244.50
  4. Step 4: Simplify right side
    175,693.25x = 148,413,324,780.25
  5. Step 5: Solve for x
    x = 148,413,324,780.25/175,693.25
  6. Step 6: Final answer
    x = 844,729.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.