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Finding the Third Proportional to 162,775.50 and 338,025

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Solution

The third proportional to 162,775.50 and 338,025 is: 701,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,775.50 : 338,025 = 338,025 : x
  2. Step 2: Convert to fraction form
    162,775.50/338,025 = 338,025/x
  3. Step 3: Cross multiply
    162,775.50x = 338,025 × 338,025
  4. Step 4: Simplify right side
    162,775.50x = 114,260,900,625
  5. Step 5: Solve for x
    x = 114,260,900,625/162,775.50
  6. Step 6: Final answer
    x = 701,953.92

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.