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Finding the Third Proportional to 119,279 and 262,066

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Solution

The third proportional to 119,279 and 262,066 is: 575,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,279 : 262,066 = 262,066 : x
  2. Step 2: Convert to fraction form
    119,279/262,066 = 262,066/x
  3. Step 3: Cross multiply
    119,279x = 262,066 × 262,066
  4. Step 4: Simplify right side
    119,279x = 68,678,588,356
  5. Step 5: Solve for x
    x = 68,678,588,356/119,279
  6. Step 6: Final answer
    x = 575,781.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.