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Finding the Third Proportional to 120,384 and 190,788.75

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Solution

The third proportional to 120,384 and 190,788.75 is: 302,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,384 : 190,788.75 = 190,788.75 : x
  2. Step 2: Convert to fraction form
    120,384/190,788.75 = 190,788.75/x
  3. Step 3: Cross multiply
    120,384x = 190,788.75 × 190,788.75
  4. Step 4: Simplify right side
    120,384x = 36,400,347,126.56
  5. Step 5: Solve for x
    x = 36,400,347,126.56/120,384
  6. Step 6: Final answer
    x = 302,368.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.