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Finding the Third Proportional to 162,040.13 and 233,424.75

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Solution

The third proportional to 162,040.13 and 233,424.75 is: 336,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,040.13 : 233,424.75 = 233,424.75 : x
  2. Step 2: Convert to fraction form
    162,040.13/233,424.75 = 233,424.75/x
  3. Step 3: Cross multiply
    162,040.13x = 233,424.75 × 233,424.75
  4. Step 4: Simplify right side
    162,040.13x = 54,487,113,912.56
  5. Step 5: Solve for x
    x = 54,487,113,912.56/162,040.13
  6. Step 6: Final answer
    x = 336,256.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.