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Finding the Third Proportional to 180,714 and 241,506

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Solution

The third proportional to 180,714 and 241,506 is: 322,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,714 : 241,506 = 241,506 : x
  2. Step 2: Convert to fraction form
    180,714/241,506 = 241,506/x
  3. Step 3: Cross multiply
    180,714x = 241,506 × 241,506
  4. Step 4: Simplify right side
    180,714x = 58,325,148,036
  5. Step 5: Solve for x
    x = 58,325,148,036/180,714
  6. Step 6: Final answer
    x = 322,748.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.