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Finding the Third Proportional to 64,288.69 and 140,454

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Solution

The third proportional to 64,288.69 and 140,454 is: 306,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,288.69 : 140,454 = 140,454 : x
  2. Step 2: Convert to fraction form
    64,288.69/140,454 = 140,454/x
  3. Step 3: Cross multiply
    64,288.69x = 140,454 × 140,454
  4. Step 4: Simplify right side
    64,288.69x = 19,727,326,116
  5. Step 5: Solve for x
    x = 19,727,326,116/64,288.69
  6. Step 6: Final answer
    x = 306,855.33

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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.