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Finding the Third Proportional to 79,029 and 190,458

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Solution

The third proportional to 79,029 and 190,458 is: 458,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,029 : 190,458 = 190,458 : x
  2. Step 2: Convert to fraction form
    79,029/190,458 = 190,458/x
  3. Step 3: Cross multiply
    79,029x = 190,458 × 190,458
  4. Step 4: Simplify right side
    79,029x = 36,274,249,764
  5. Step 5: Solve for x
    x = 36,274,249,764/79,029
  6. Step 6: Final answer
    x = 458,999.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.