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Finding the Third Proportional to 161,424 and 375,120

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Solution

The third proportional to 161,424 and 375,120 is: 871,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,424 : 375,120 = 375,120 : x
  2. Step 2: Convert to fraction form
    161,424/375,120 = 375,120/x
  3. Step 3: Cross multiply
    161,424x = 375,120 × 375,120
  4. Step 4: Simplify right side
    161,424x = 140,715,014,400
  5. Step 5: Solve for x
    x = 140,715,014,400/161,424
  6. Step 6: Final answer
    x = 871,710.62

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Why These Related Problems?

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