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Finding the Third Proportional to 141,287.63 and 333,462.38

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Solution

The third proportional to 141,287.63 and 333,462.38 is: 787,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,287.63 : 333,462.38 = 333,462.38 : x
  2. Step 2: Convert to fraction form
    141,287.63/333,462.38 = 333,462.38/x
  3. Step 3: Cross multiply
    141,287.63x = 333,462.38 × 333,462.38
  4. Step 4: Simplify right side
    141,287.63x = 111,197,155,540.64
  5. Step 5: Solve for x
    x = 111,197,155,540.64/141,287.63
  6. Step 6: Final answer
    x = 787,026.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.