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Finding the Third Proportional to 192,030.75 and 290,698.88

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Solution

The third proportional to 192,030.75 and 290,698.88 is: 440,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,030.75 : 290,698.88 = 290,698.88 : x
  2. Step 2: Convert to fraction form
    192,030.75/290,698.88 = 290,698.88/x
  3. Step 3: Cross multiply
    192,030.75x = 290,698.88 × 290,698.88
  4. Step 4: Simplify right side
    192,030.75x = 84,505,835,926.27
  5. Step 5: Solve for x
    x = 84,505,835,926.27/192,030.75
  6. Step 6: Final answer
    x = 440,064.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.