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Finding the Third Proportional to 140,154.75 and 216,065.25

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Solution

The third proportional to 140,154.75 and 216,065.25 is: 333,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,154.75 : 216,065.25 = 216,065.25 : x
  2. Step 2: Convert to fraction form
    140,154.75/216,065.25 = 216,065.25/x
  3. Step 3: Cross multiply
    140,154.75x = 216,065.25 × 216,065.25
  4. Step 4: Simplify right side
    140,154.75x = 46,684,192,257.56
  5. Step 5: Solve for x
    x = 46,684,192,257.56/140,154.75
  6. Step 6: Final answer
    x = 333,090.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.