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Finding the Third Proportional to 134,862 and 295,644

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Solution

The third proportional to 134,862 and 295,644 is: 648,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,862 : 295,644 = 295,644 : x
  2. Step 2: Convert to fraction form
    134,862/295,644 = 295,644/x
  3. Step 3: Cross multiply
    134,862x = 295,644 × 295,644
  4. Step 4: Simplify right side
    134,862x = 87,405,374,736
  5. Step 5: Solve for x
    x = 87,405,374,736/134,862
  6. Step 6: Final answer
    x = 648,109.73

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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.