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Finding the Third Proportional to 140,217 and 304,217.75

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Solution

The third proportional to 140,217 and 304,217.75 is: 660,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,217 : 304,217.75 = 304,217.75 : x
  2. Step 2: Convert to fraction form
    140,217/304,217.75 = 304,217.75/x
  3. Step 3: Cross multiply
    140,217x = 304,217.75 × 304,217.75
  4. Step 4: Simplify right side
    140,217x = 92,548,439,415.06
  5. Step 5: Solve for x
    x = 92,548,439,415.06/140,217
  6. Step 6: Final answer
    x = 660,037.22

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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.