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Finding the Third Proportional to 180,902.25 and 385,843.50

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Solution

The third proportional to 180,902.25 and 385,843.50 is: 822,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.25 : 385,843.50 = 385,843.50 : x
  2. Step 2: Convert to fraction form
    180,902.25/385,843.50 = 385,843.50/x
  3. Step 3: Cross multiply
    180,902.25x = 385,843.50 × 385,843.50
  4. Step 4: Simplify right side
    180,902.25x = 148,875,206,492.25
  5. Step 5: Solve for x
    x = 148,875,206,492.25/180,902.25
  6. Step 6: Final answer
    x = 822,959.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.