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Finding the Third Proportional to 140,148 and 303,600

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Solution

The third proportional to 140,148 and 303,600 is: 657,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,148 : 303,600 = 303,600 : x
  2. Step 2: Convert to fraction form
    140,148/303,600 = 303,600/x
  3. Step 3: Cross multiply
    140,148x = 303,600 × 303,600
  4. Step 4: Simplify right side
    140,148x = 92,172,960,000
  5. Step 5: Solve for x
    x = 92,172,960,000/140,148
  6. Step 6: Final answer
    x = 657,683.02

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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.