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Finding the Third Proportional to 161,181.75 and 207,463.50

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Solution

The third proportional to 161,181.75 and 207,463.50 is: 267,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,181.75 : 207,463.50 = 207,463.50 : x
  2. Step 2: Convert to fraction form
    161,181.75/207,463.50 = 207,463.50/x
  3. Step 3: Cross multiply
    161,181.75x = 207,463.50 × 207,463.50
  4. Step 4: Simplify right side
    161,181.75x = 43,041,103,832.25
  5. Step 5: Solve for x
    x = 43,041,103,832.25/161,181.75
  6. Step 6: Final answer
    x = 267,034.60

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.