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Finding the Third Proportional to 140,655.75 and 301,404

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Solution

The third proportional to 140,655.75 and 301,404 is: 645,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,655.75 : 301,404 = 301,404 : x
  2. Step 2: Convert to fraction form
    140,655.75/301,404 = 301,404/x
  3. Step 3: Cross multiply
    140,655.75x = 301,404 × 301,404
  4. Step 4: Simplify right side
    140,655.75x = 90,844,371,216
  5. Step 5: Solve for x
    x = 90,844,371,216/140,655.75
  6. Step 6: Final answer
    x = 645,863.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.