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Finding the Third Proportional to 115,726 and 240,664

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Solution

The third proportional to 115,726 and 240,664 is: 500,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,726 : 240,664 = 240,664 : x
  2. Step 2: Convert to fraction form
    115,726/240,664 = 240,664/x
  3. Step 3: Cross multiply
    115,726x = 240,664 × 240,664
  4. Step 4: Simplify right side
    115,726x = 57,919,160,896
  5. Step 5: Solve for x
    x = 57,919,160,896/115,726
  6. Step 6: Final answer
    x = 500,485.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.