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Finding the Third Proportional to 140,217.75 and 304,094.25

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Solution

The third proportional to 140,217.75 and 304,094.25 is: 659,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,217.75 : 304,094.25 = 304,094.25 : x
  2. Step 2: Convert to fraction form
    140,217.75/304,094.25 = 304,094.25/x
  3. Step 3: Cross multiply
    140,217.75x = 304,094.25 × 304,094.25
  4. Step 4: Simplify right side
    140,217.75x = 92,473,312,883.06
  5. Step 5: Solve for x
    x = 92,473,312,883.06/140,217.75
  6. Step 6: Final answer
    x = 659,497.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.