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Finding the Third Proportional to 115,828 and 253,798

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Solution

The third proportional to 115,828 and 253,798 is: 556,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,828 : 253,798 = 253,798 : x
  2. Step 2: Convert to fraction form
    115,828/253,798 = 253,798/x
  3. Step 3: Cross multiply
    115,828x = 253,798 × 253,798
  4. Step 4: Simplify right side
    115,828x = 64,413,424,804
  5. Step 5: Solve for x
    x = 64,413,424,804/115,828
  6. Step 6: Final answer
    x = 556,112.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.