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Finding the Third Proportional to 179,926.50 and 384,766.50

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Solution

The third proportional to 179,926.50 and 384,766.50 is: 822,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,926.50 : 384,766.50 = 384,766.50 : x
  2. Step 2: Convert to fraction form
    179,926.50/384,766.50 = 384,766.50/x
  3. Step 3: Cross multiply
    179,926.50x = 384,766.50 × 384,766.50
  4. Step 4: Simplify right side
    179,926.50x = 148,045,259,522.25
  5. Step 5: Solve for x
    x = 148,045,259,522.25/179,926.50
  6. Step 6: Final answer
    x = 822,809.64

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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.