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Finding the Third Proportional to 142,568 and 309,420

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Solution

The third proportional to 142,568 and 309,420 is: 671,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,568 : 309,420 = 309,420 : x
  2. Step 2: Convert to fraction form
    142,568/309,420 = 309,420/x
  3. Step 3: Cross multiply
    142,568x = 309,420 × 309,420
  4. Step 4: Simplify right side
    142,568x = 95,740,736,400
  5. Step 5: Solve for x
    x = 95,740,736,400/142,568
  6. Step 6: Final answer
    x = 671,544.36

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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.