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Finding the Third Proportional to 142,405 and 303,217

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Solution

The third proportional to 142,405 and 303,217 is: 645,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405 : 303,217 = 303,217 : x
  2. Step 2: Convert to fraction form
    142,405/303,217 = 303,217/x
  3. Step 3: Cross multiply
    142,405x = 303,217 × 303,217
  4. Step 4: Simplify right side
    142,405x = 91,940,549,089
  5. Step 5: Solve for x
    x = 91,940,549,089/142,405
  6. Step 6: Final answer
    x = 645,627.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.