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Finding the Third Proportional to 144,037 and 218,046

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Solution

The third proportional to 144,037 and 218,046 is: 330,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,037 : 218,046 = 218,046 : x
  2. Step 2: Convert to fraction form
    144,037/218,046 = 218,046/x
  3. Step 3: Cross multiply
    144,037x = 218,046 × 218,046
  4. Step 4: Simplify right side
    144,037x = 47,544,058,116
  5. Step 5: Solve for x
    x = 47,544,058,116/144,037
  6. Step 6: Final answer
    x = 330,082.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.