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Finding the Third Proportional to 115,464 and 183,868

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Solution

The third proportional to 115,464 and 183,868 is: 292,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 183,868 = 183,868 : x
  2. Step 2: Convert to fraction form
    115,464/183,868 = 183,868/x
  3. Step 3: Cross multiply
    115,464x = 183,868 × 183,868
  4. Step 4: Simplify right side
    115,464x = 33,807,441,424
  5. Step 5: Solve for x
    x = 33,807,441,424/115,464
  6. Step 6: Final answer
    x = 292,796.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.