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Finding the Third Proportional to 110,415 and 239,501

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Solution

The third proportional to 110,415 and 239,501 is: 519,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,415 : 239,501 = 239,501 : x
  2. Step 2: Convert to fraction form
    110,415/239,501 = 239,501/x
  3. Step 3: Cross multiply
    110,415x = 239,501 × 239,501
  4. Step 4: Simplify right side
    110,415x = 57,360,729,001
  5. Step 5: Solve for x
    x = 57,360,729,001/110,415
  6. Step 6: Final answer
    x = 519,501.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.