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Finding the Third Proportional to 156,944 and 240,122

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Solution

The third proportional to 156,944 and 240,122 is: 367,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944 : 240,122 = 240,122 : x
  2. Step 2: Convert to fraction form
    156,944/240,122 = 240,122/x
  3. Step 3: Cross multiply
    156,944x = 240,122 × 240,122
  4. Step 4: Simplify right side
    156,944x = 57,658,574,884
  5. Step 5: Solve for x
    x = 57,658,574,884/156,944
  6. Step 6: Final answer
    x = 367,383.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.