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Finding the Third Proportional to 136,080 and 284,553

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Solution

The third proportional to 136,080 and 284,553 is: 595,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,080 : 284,553 = 284,553 : x
  2. Step 2: Convert to fraction form
    136,080/284,553 = 284,553/x
  3. Step 3: Cross multiply
    136,080x = 284,553 × 284,553
  4. Step 4: Simplify right side
    136,080x = 80,970,409,809
  5. Step 5: Solve for x
    x = 80,970,409,809/136,080
  6. Step 6: Final answer
    x = 595,020.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.