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Finding the Third Proportional to 163,620.75 and 240,042

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Solution

The third proportional to 163,620.75 and 240,042 is: 352,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,620.75 : 240,042 = 240,042 : x
  2. Step 2: Convert to fraction form
    163,620.75/240,042 = 240,042/x
  3. Step 3: Cross multiply
    163,620.75x = 240,042 × 240,042
  4. Step 4: Simplify right side
    163,620.75x = 57,620,161,764
  5. Step 5: Solve for x
    x = 57,620,161,764/163,620.75
  6. Step 6: Final answer
    x = 352,156.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.