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Finding the Third Proportional to 220,946 and 340,044

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Solution

The third proportional to 220,946 and 340,044 is: 523,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,946 : 340,044 = 340,044 : x
  2. Step 2: Convert to fraction form
    220,946/340,044 = 340,044/x
  3. Step 3: Cross multiply
    220,946x = 340,044 × 340,044
  4. Step 4: Simplify right side
    220,946x = 115,629,921,936
  5. Step 5: Solve for x
    x = 115,629,921,936/220,946
  6. Step 6: Final answer
    x = 523,340.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.