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Finding the Third Proportional to 161,719.50 and 252,421.50

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Solution

The third proportional to 161,719.50 and 252,421.50 is: 393,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,719.50 : 252,421.50 = 252,421.50 : x
  2. Step 2: Convert to fraction form
    161,719.50/252,421.50 = 252,421.50/x
  3. Step 3: Cross multiply
    161,719.50x = 252,421.50 × 252,421.50
  4. Step 4: Simplify right side
    161,719.50x = 63,716,613,662.25
  5. Step 5: Solve for x
    x = 63,716,613,662.25/161,719.50
  6. Step 6: Final answer
    x = 393,994.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.