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Finding the Third Proportional to 166,596.75 and 357,817.50

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Solution

The third proportional to 166,596.75 and 357,817.50 is: 768,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,596.75 : 357,817.50 = 357,817.50 : x
  2. Step 2: Convert to fraction form
    166,596.75/357,817.50 = 357,817.50/x
  3. Step 3: Cross multiply
    166,596.75x = 357,817.50 × 357,817.50
  4. Step 4: Simplify right side
    166,596.75x = 128,033,363,306.25
  5. Step 5: Solve for x
    x = 128,033,363,306.25/166,596.75
  6. Step 6: Final answer
    x = 768,522.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.