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Finding the Third Proportional to 218,714 and 342,650

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Solution

The third proportional to 218,714 and 342,650 is: 536,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714 : 342,650 = 342,650 : x
  2. Step 2: Convert to fraction form
    218,714/342,650 = 342,650/x
  3. Step 3: Cross multiply
    218,714x = 342,650 × 342,650
  4. Step 4: Simplify right side
    218,714x = 117,409,022,500
  5. Step 5: Solve for x
    x = 117,409,022,500/218,714
  6. Step 6: Final answer
    x = 536,815.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.