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Finding the Third Proportional to 145,100 and 303,316

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Solution

The third proportional to 145,100 and 303,316 is: 634,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,100 : 303,316 = 303,316 : x
  2. Step 2: Convert to fraction form
    145,100/303,316 = 303,316/x
  3. Step 3: Cross multiply
    145,100x = 303,316 × 303,316
  4. Step 4: Simplify right side
    145,100x = 92,000,595,856
  5. Step 5: Solve for x
    x = 92,000,595,856/145,100
  6. Step 6: Final answer
    x = 634,049.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.