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Finding the Third Proportional to 144,082 and 207,553

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Solution

The third proportional to 144,082 and 207,553 is: 298,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082 : 207,553 = 207,553 : x
  2. Step 2: Convert to fraction form
    144,082/207,553 = 207,553/x
  3. Step 3: Cross multiply
    144,082x = 207,553 × 207,553
  4. Step 4: Simplify right side
    144,082x = 43,078,247,809
  5. Step 5: Solve for x
    x = 43,078,247,809/144,082
  6. Step 6: Final answer
    x = 298,984.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.