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Finding the Third Proportional to 119,020.50 and 259,407

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Solution

The third proportional to 119,020.50 and 259,407 is: 565,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,020.50 : 259,407 = 259,407 : x
  2. Step 2: Convert to fraction form
    119,020.50/259,407 = 259,407/x
  3. Step 3: Cross multiply
    119,020.50x = 259,407 × 259,407
  4. Step 4: Simplify right side
    119,020.50x = 67,291,991,649
  5. Step 5: Solve for x
    x = 67,291,991,649/119,020.50
  6. Step 6: Final answer
    x = 565,381.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.