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Finding the Third Proportional to 140,862 and 308,412

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Solution

The third proportional to 140,862 and 308,412 is: 675,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,862 : 308,412 = 308,412 : x
  2. Step 2: Convert to fraction form
    140,862/308,412 = 308,412/x
  3. Step 3: Cross multiply
    140,862x = 308,412 × 308,412
  4. Step 4: Simplify right side
    140,862x = 95,117,961,744
  5. Step 5: Solve for x
    x = 95,117,961,744/140,862
  6. Step 6: Final answer
    x = 675,256.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.