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Finding the Third Proportional to 161,238 and 374,784

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Solution

The third proportional to 161,238 and 374,784 is: 871,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,238 : 374,784 = 374,784 : x
  2. Step 2: Convert to fraction form
    161,238/374,784 = 374,784/x
  3. Step 3: Cross multiply
    161,238x = 374,784 × 374,784
  4. Step 4: Simplify right side
    161,238x = 140,463,046,656
  5. Step 5: Solve for x
    x = 140,463,046,656/161,238
  6. Step 6: Final answer
    x = 871,153.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.