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Finding the Third Proportional to 115,855 and 252,998

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Solution

The third proportional to 115,855 and 252,998 is: 552,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,855 : 252,998 = 252,998 : x
  2. Step 2: Convert to fraction form
    115,855/252,998 = 252,998/x
  3. Step 3: Cross multiply
    115,855x = 252,998 × 252,998
  4. Step 4: Simplify right side
    115,855x = 64,007,988,004
  5. Step 5: Solve for x
    x = 64,007,988,004/115,855
  6. Step 6: Final answer
    x = 552,483.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.