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Finding the Third Proportional to 220,650 and 340,961

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Solution

The third proportional to 220,650 and 340,961 is: 526,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,650 : 340,961 = 340,961 : x
  2. Step 2: Convert to fraction form
    220,650/340,961 = 340,961/x
  3. Step 3: Cross multiply
    220,650x = 340,961 × 340,961
  4. Step 4: Simplify right side
    220,650x = 116,254,403,521
  5. Step 5: Solve for x
    x = 116,254,403,521/220,650
  6. Step 6: Final answer
    x = 526,872.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.