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Finding the Third Proportional to 239,040 and 335,010

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Solution

The third proportional to 239,040 and 335,010 is: 469,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,040 : 335,010 = 335,010 : x
  2. Step 2: Convert to fraction form
    239,040/335,010 = 335,010/x
  3. Step 3: Cross multiply
    239,040x = 335,010 × 335,010
  4. Step 4: Simplify right side
    239,040x = 112,231,700,100
  5. Step 5: Solve for x
    x = 112,231,700,100/239,040
  6. Step 6: Final answer
    x = 469,510.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.