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Finding the Third Proportional to 119,649.38 and 261,032.63

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Solution

The third proportional to 119,649.38 and 261,032.63 is: 569,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,649.38 : 261,032.63 = 261,032.63 : x
  2. Step 2: Convert to fraction form
    119,649.38/261,032.63 = 261,032.63/x
  3. Step 3: Cross multiply
    119,649.38x = 261,032.63 × 261,032.63
  4. Step 4: Simplify right side
    119,649.38x = 68,138,031,314.39
  5. Step 5: Solve for x
    x = 68,138,031,314.39/119,649.38
  6. Step 6: Final answer
    x = 569,480.88

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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.