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Finding the Third Proportional to 136,384 and 183,458

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Solution

The third proportional to 136,384 and 183,458 is: 246,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,384 : 183,458 = 183,458 : x
  2. Step 2: Convert to fraction form
    136,384/183,458 = 183,458/x
  3. Step 3: Cross multiply
    136,384x = 183,458 × 183,458
  4. Step 4: Simplify right side
    136,384x = 33,656,837,764
  5. Step 5: Solve for x
    x = 33,656,837,764/136,384
  6. Step 6: Final answer
    x = 246,779.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.